The line y=mx+2y = mx + 2y=mx+2 is a tangent to the circle (x−5)2+(y+1)2=15(x - 5)^2 + (y + 1)^2 = 15(x−5)2+(y+1)2=15.
Find the two possible values of mmm, giving your answers in exact form.
76 exam-style questions on WJEC A Level Maths 1.3 Coordinate geometry in the (x, y) plane, covering 1.3.1 Coordinate geometry in the (x, y) plane, 1.3.2 Coordinate geometry in the (x, y) plane, 1.3.3 Coordinate geometry in the (x, y) plane, and 1.3.4 Coordinate geometry in the (x, y) plane. Each one has a worked solution and a mark scheme showing where the marks go.