EduNinjaCAIE IGCSE Additional Math 8.2. Solve line-circle intersection problems question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.
EduNinja keeps Additional Math practice aligned to CAIE, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.
A circle with centre C has the equation x2+y2−10x−4y+24=0.
Show that the line y=2 x-3 is a tangent to this circle.
Given that this tangent touches the circle at the point P, find the coordinates of P.
Solutions to this question by accurate drawing will not be accepted.
A circle has centre (4,2) and meets the x-axis at (-2,0).
Find, in exact form, the coordinates of the points where the circle meets the y-axis.