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Circles
CBSE 2026 Board Exam Set 1 (Code 30/7/1)
CBSE_BOARD_PYQ_2026_30_7_1
Grade 10

Question:

[Section A]

If $PA$ and $PB$ are two tangents drawn to a circle with center $O$ such that $\angle AOB = 120^\circ$, then $\angle APB$ is:

(A) $60^\circ$
(B) $50^\circ$
(C) $90^\circ$
(D) $120^\circ$

Step-by-Step Solution

Key Concept: Supplementary relation: $\angle APB + \angle AOB = 180^\circ \Rightarrow \angle APB = 60^\circ$.
Sol. (A) $60^\circ$. [1.0 Mark]

Correct Answer: (A) $60^\circ$
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