CBSE Class 10 Maths (Standard) 2022 · Paper 30/6/1 · Question 11(a)

Circles 4 marks Hard

In Figure 2, two circles touch externally at

P

. A common tangent touches them at

A

and

B

and another common tangent is at

P

, which meets the common tangent

A B

C

. Prove that

∠ A P B = 9 0^{\circ}

Two externally touching circles with common tangents meeting at C

Answer

∠ A P B = 9 0^{\circ}

(since

C A = C P = C B

makes

C

the circumcentre of triangle

A P B

with

A B

as diameter).

🔒 Step-by-step solution

Class 10 Maths — every question with an expert-verified, step-by-step solution.