CBSE Class 10 Maths (Standard) 2017 · Paper 530/1 · Question 28

Circles 4 marks Medium

In Figure 6, two circles touch each other at

A

. A common tangent touches them at

B

and

C

and another common tangent at

A

meets the previous common tangent at

P

. Prove that

∠ B A C = 9 0^{\circ}

Figure 6

Answer

∠ B A C = 9 0^{\circ}

, proved using equal tangent segments

P A = P B = P C

and the straight-line angle sum.

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