The line y=mx−2y = mx - 2y=mx−2 is a tangent to the circle x2+6x+y2−8y+5=0x^2 + 6x + y^2 - 8y + 5 = 0x2+6x+y2−8y+5=0.
Find the two possible values of mmm, giving your answers in exact form.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.