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.
67 exam-style questions on CCEA A Level Maths 1.2 Co-ordinate geometry in the x, y plane, covering 1.2.1 Co-ordinate geometry in the x, y plane, 1.2.2 Co-ordinate geometry in the x, y plane, 1.2.3 Co-ordinate geometry in the x, y plane, 1.2.4 Co-ordinate geometry in the x, y plane, 1.2.5 Co-ordinate geometry in the x, y plane, 1.2.6 Co-ordinate geometry in the x, y plane, 1.2.7 Co-ordinate geometry in the x, y plane, and 1.2 Co-ordinate geometry in the x, y plane. Each one has a worked solution and a mark scheme showing where the marks go.