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.
143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.