CAIE IGCSE Additional Math 8.4 Solve Circle Circle Intersection Problems Questions

Practise Cambridge IGCSE Additional Mathematics by analysing centre distances, tangency and exact circle intersection conditions.

Exam points

Determine whether two circles touch or intersect using centres and radii.
Use the distance between centres and equal-radius conditions to establish circle relationships.
Solve for exact coordinates or parameters of intersections while checking geometric constraints.

[Maximum number: 1]

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

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

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

$[r_2-r_1=]\ 4-1.5=2.5$ , equal to the distance between centres. B1

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CAIE IGCSE Additional Math 8.4 Solve Circle Circle Intersection Problems Questions question 1