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IGCSE Additional Math8.4. Solve circle-circle intersection problemsTopic Practice

8.4. Solve circle-circle intersection problems

CAIE IGCSE Additional Math 8.4. Solve circle-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.

Question 7(b)

Solutions to this question by accurate drawing will not be accepted.
A circle has equation x2+y2−16x−10y+73=0x^{2}+y^{2}-16 x-10 y+73=0.

A different circle has equation (x−10)2+(y−6.5)2=2.25(x-10)^{2}+(y-6.5)^{2}=2.25.

Show that the two circles touch. You are not required to find the coordinates of the common point.

Question 11

[Maximum number: 5]

A circle has equation x2+y2−25=0x^{2}+y^{2}-25=0.
A second circle has the same radius as the first circle, and the coordinates of its centre are both positive.
The two circles intersect at the points A and B.
The line AB has length 6 and is parallel to the line y=-x.
Find the equation of the second circle in the form x2+y2+ax+by+c=0x^{2}+y^{2}+a x+b y+c=0, where a, b and c are constants.

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