Line PA touches a circle at A, and a secant through P meets the circle at B and C (with B between P and C). If \(PB = 4\) and \(PC = 9\), then \(PA = \)

A. 36

B. 6

C. 13

D. 5

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Best answer

Answer: B. 6

By the tangent secant segments theorem, \(PA^2 = PB \times PC = 4 \times 9 = 36\), so \(PA = 6\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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