35:I[651451,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"UserProgressProvider"] 36:I[196793,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"Gingerbread"] 38:I[716297,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"TopicRecentlyViewed"] 39:I[647935,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"RecordResourceResume"] 3a:I[426249,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"TopicQuestionBank"] 25:["$","$L35",null,{"bundle":{"topicIds":["2f122547-d516-4d35-8539-0a8e6cb73bb3"],"paperIds":[],"stageIds":[],"stageTopicIds":[],"stageAssessmentIds":[],"topicNoteIds":[]},"children":[["$","$L36",null,{"feature":"question-bank"}],"$L37",["$","$L38",null,{"subjectCode":"as_level_maths","subjectName":"Maths","topicSlug":"as-pure-mathematics-2-4-the-discriminant","topicTitle":"2.4 The Discriminant","sectionTitle":null,"activity":"worksheet","resourceTitle":"2.4 The Discriminant Questions","resourceHref":"/as-level/maths/edexcel/as-pure-mathematics-2-4-the-discriminant/questions/q1","saveTrail":false}],["$","$L39",null,{"href":"/as-level/maths/edexcel/as-pure-mathematics-2-4-the-discriminant/questions/q1","label":"2.4 The Discriminant","subjectCode":"as_level_maths","surface":"questions"}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"name\":\"Question 8 – 2.4 The Discriminant - AS Level Maths Questions\",\"description\":\"Practise 2.4 The Discriminant AS Level Maths exam-style questions with worked solutions on MathsGenie.\",\"learningResourceType\":\"Practice questions\",\"educationalLevel\":\"AS Level\",\"about\":{\"@type\":\"Thing\",\"name\":\"2.4 The Discriminant\"},\"url\":\"https://mathsgenie.co.uk/as-level/maths/edexcel/as-pure-mathematics-2-4-the-discriminant/questions/q8\",\"inLanguage\":\"en-GB\",\"provider\":{\"@id\":\"https://mathsgenie.co.uk/#organization\"}}"}}],["$","div",null,{"className":"min-h-0 w-full flex-1 overflow-hidden bg-background","children":["$","$L3a",null,{"backHref":"/as-level/maths/edexcel/questions","basePath":"/as-level/maths/edexcel/as-pure-mathematics-2-4-the-discriminant/questions","formulaUrl":"https://assets.mathsgenie.co.uk/board-resources/a-level-maths/edexcel/formula-book.pdf","initialIndex":7,"initialQuestionWindow":[{"id":"0cc1a877-ea2b-4c34-8079-43e0de7e4bc6","revisionId":"f01a21e2-57db-47e5-86ca-90deffffea07","questionNumber":"7","questionType":"LA","specification":"The curve with equation $y=px^2-4px-5p$, where $p$ is a constant, does not intersect the line with equation $y=2x-12$.","difficulty":2,"difficultyBand":null,"totalMarks":8,"sourceTitle":"2.4 The Discriminant","calculatorUse":null,"isCalculation":true,"parts":[{"id":"364ea9fc-9529-402e-bc0b-5c40f0ca2b62","label":"a","content":"Show that $9p^2-8p+1<0$.","markscheme":"- Equates the curve and line to obtain $px^2-4px-5p=2x-12$. M1\n- Rearranges to $px^2-(4p+2)x+(12-5p)=0$. A1\n- Uses $b^2-4ac<0$ because there are no points of intersection. M1\n- Substitutes the coefficients to obtain $(4p+2)^2-4p(12-5p)<0$. A1\n- Expands, simplifies and divides by $4$ to show that $9p^2-8p+1<0$. A1","marks":5,"order":0,"markingRubric":{"totalMarks":5,"points":[{"id":"p1","marks":1,"description":"Equates the curve and line equations.","code":"M","acceptable":["$$px^2-4px-5p=2x-12$"]},{"id":"p2","marks":1,"description":"Rearranges the intersection equation to $px^2-(4p+2)x+(12-5p)=0$.","code":"A"},{"id":"p3","marks":1,"description":"Uses $b^2-4ac<0$ because the curve and line do not intersect.","code":"M"},{"id":"p4","marks":1,"description":"Substitutes the coefficients to obtain $(4p+2)^2-4p(12-5p)<0$.","code":"A"},{"id":"p5","marks":1,"description":"Expands and simplifies to $9p^2-8p+1<0$.","code":"A","acceptable":["$$36p^2-32p+4<0$ followed by division by $4$"]}],"finalAnswers":["$$9p^2-8p+1<0$"],"generatedAt":"2026-08-31T09:29:25.904Z","modelVersion":"cheap:gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]},{"id":"eaeea4bd-d470-497f-95f3-4928b18ab972","label":"b","content":"Find the set of possible values for $p$.","markscheme":"- Solves $9p^2-8p+1=0$ using the quadratic formula. M1\n- Obtains the boundary values $p=\\frac{4-\\sqrt{7}}{9}$ and $p=\\frac{4+\\sqrt{7}}{9}$. A1\n- Concludes $\\frac{4-\\sqrt{7}}{9}A1\n\n![A hand-drawn graph of a parabola opening upwards on a Cartesian coordinate system. The parabola intersects the x-axis at two points, which are marked with small vertical ticks. The region between these two intersection points on the x-axis is shaded, representing the interval where the function is negative. The parabola itself is above the x-axis outside this interval.](https://assets.mathsgenie.co.uk/booklet/05941a3e0f676f4f3b172cec391bddbc3d256196edbce5f56bbf599cac51be78.jpg)","marks":3,"order":1,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Solves $9p^2-8p+1=0$ using a valid quadratic method.","code":"M"},{"id":"p2","marks":1,"description":"Obtains the boundary values $\\frac{4-\\sqrt{7}}{9}$ and $\\frac{4+\\sqrt{7}}{9}$.","code":"A"},{"id":"p3","marks":1,"description":"States $\\frac{4-\\sqrt{7}}{9}M1\n- Expands and simplifies to $(m^2+1)x^2+(6-12m)x+25=0$. A1\n- Uses the tangent condition $b^2-4ac=0$. M1\n- Obtains $(6-12m)^2-100(m^2+1)=0$. A1\n- Expands and simplifies to $11m^2-36m-16=0$. A1\n- Applies the quadratic formula to solve for $m$. M1\n- Obtains $m=\\frac{18+10\\sqrt{5}}{11}$ or $m=\\frac{18-10\\sqrt{5}}{11}$. A1","marks":7,"order":0,"markingRubric":{"totalMarks":7,"points":[{"id":"p1","marks":1,"description":"Substitutes $y=mx-2$ into the circle equation.","code":"M"},{"id":"p2","marks":1,"description":"Expands and simplifies to $(m^2+1)x^2+(6-12m)x+25=0$.","code":"A"},{"id":"p3","marks":1,"description":"Uses $b^2-4ac=0$ because the line is tangent to the circle.","code":"M"},{"id":"p4","marks":1,"description":"Substitutes the coefficients to obtain $(6-12m)^2-100(m^2+1)=0$.","code":"A"},{"id":"p5","marks":1,"description":"Expands and simplifies to $11m^2-36m-16=0$.","code":"A","acceptable":["$$44m^2-144m-64=0$"]},{"id":"p6","marks":1,"description":"Applies the quadratic formula correctly to solve the quadratic in $m$.","code":"M"},{"id":"p7","marks":1,"description":"Gives both exact values $m=\\frac{18+10\\sqrt{5}}{11}$ and $m=\\frac{18-10\\sqrt{5}}{11}$.","code":"A"}],"finalAnswers":["$$\\frac{18+10\\sqrt{5}}{11}$","$$\\frac{18-10\\sqrt{5}}{11}$"],"generatedAt":"2026-08-31T09:29:25.904Z","modelVersion":"cheap:gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"3f1384ba-ccd1-40a7-86b3-406013524052","revisionId":"30de4250-1aae-49ad-b143-fc3c0c110d5b","questionNumber":"9","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":7,"sourceTitle":"2.4 The Discriminant","calculatorUse":null,"isCalculation":true,"parts":[{"id":"e4b8c183-74e5-4e89-bb8d-ac56d53a9d19","label":"","content":"The line $y=mx+2$ is a tangent to the circle $(x-5)^2+(y+1)^2=15$.\n\nFind the two possible values of $m$, giving your answers in exact form.","markscheme":"- Substitutes $y=mx+2$ into the circle equation. M1\n- Expands and simplifies to $(1+m^2)x^2+(6m-10)x+19=0$. A1\n- Uses the tangent condition $b^2-4ac=0$. M1\n- Obtains $(6m-10)^2-76(1+m^2)=0$. A1\n- Expands and simplifies to $5m^2+15m-3=0$. A1\n- Applies the quadratic formula to solve for $m$. M1\n- Obtains $m=\\frac{-15+\\sqrt{285}}{10}$ or $m=\\frac{-15-\\sqrt{285}}{10}$. A1","marks":7,"order":0,"markingRubric":{"totalMarks":7,"points":[{"id":"p1","marks":1,"description":"Substitutes $y=mx+2$ into the circle equation.","code":"M"},{"id":"p2","marks":1,"description":"Expands and simplifies to $(1+m^2)x^2+(6m-10)x+19=0$.","code":"A"},{"id":"p3","marks":1,"description":"Uses $b^2-4ac=0$ because the line is tangent to the circle.","code":"M"},{"id":"p4","marks":1,"description":"Substitutes the coefficients to obtain $(6m-10)^2-76(1+m^2)=0$.","code":"A"},{"id":"p5","marks":1,"description":"Expands and simplifies to $5m^2+15m-3=0$.","code":"A","acceptable":["$$-40m^2-120m+24=0$"]},{"id":"p6","marks":1,"description":"Applies the quadratic formula correctly to solve the quadratic in $m$.","code":"M"},{"id":"p7","marks":1,"description":"Gives both exact values $m=\\frac{-15+\\sqrt{285}}{10}$ and $m=\\frac{-15-\\sqrt{285}}{10}$.","code":"A"}],"finalAnswers":["$$\\frac{-15+\\sqrt{285}}{10}$","$$\\frac{-15-\\sqrt{285}}{10}$"],"generatedAt":"2026-08-31T09:29:25.904Z","modelVersion":"cheap:gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"as_level_maths","summaries":[{"id":"cc3f2e85-e2f3-4d8e-b961-78e4bdbeb8e1","difficultyBand":null,"calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"4100741c-f786-41bc-824e-b63fe1de81ed","difficultyBand":null,"calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"23bc1db5-a071-4d29-9ce9-6ca27c01bca7","difficultyBand":null,"calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"f9e625a4-0697-4393-8b13-98e2b1b9fd68","difficultyBand":null,"calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"2c077249-2480-41a3-ade8-ff28e963f97f","difficultyBand":null,"calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"3d1f62b3-ec87-4f5e-92ba-ca3ff14d28cf","difficultyBand":null,"calculatorUse":null,"totalMarks":8,"questionType":"LA","isCalculation":true},{"id":"0cc1a877-ea2b-4c34-8079-43e0de7e4bc6","difficultyBand":null,"calculatorUse":null,"totalMarks":8,"questionType":"LA","isCalculation":true},{"id":"919dbeec-3dbf-450c-8be4-4f91495035f2","difficultyBand":null,"calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"3f1384ba-ccd1-40a7-86b3-406013524052","difficultyBand":null,"calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true}],"title":"2.4 The Discriminant","topicId":"2f122547-d516-4d35-8539-0a8e6cb73bb3","topicSidebar":"$L3b","topicSlug":"as-pure-mathematics-2-4-the-discriminant","topicTitle":"2.4 The Discriminant"}]}],"$L3c","$L3d"]}]