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Mathematics · 2026 · 3 marks
CBSE 2026 · Region 3 · Set 1 · Q31
(a) Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠ APB =2 ∠ OAB.
Two tangents PA and PB are drawn to a circle with centre O from an external point P . Prove that $\displaystyle \angle \mathrm{APB}=2 \angle \mathrm{OAB}$.
In the given figure, PA is the tangent to the circle with centre O such that $\displaystyle \mathrm{OA}=10 \mathrm{~cm}, \mathrm{AB}=8 \mathrm{~cm}$ and $\displaystyle \mathrm{AB} \perp \mathrm{OP}$. Find the length of PB.
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CBSE Class 10 Mathematics past-paper question from the 2026 board exam. Where our answers come from.