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Circles
CBSE 2026 Board Exam Set 2 (Code 30/1/2)
CBSE_BOARD_PYQ_2026_30_1_2
Grade 10
Question:
[Section A]
In the given figure, $PA$ and $PB$ are tangents to the circle with center $O$ from an external point $P$. If $\angle APB = 80^\circ$, then $\angle AOB$ is:
(A) $100^\circ$
(B) $80^\circ$
(C) $110^\circ$
(D) $50^\circ$
In the given figure, $PA$ and $PB$ are tangents to the circle with center $O$ from an external point $P$. If $\angle APB = 80^\circ$, then $\angle AOB$ is:
(A) $100^\circ$
(B) $80^\circ$
(C) $110^\circ$
(D) $50^\circ$
Step-by-Step Solution
Key Concept: $\angle AOB = 180^\circ - 80^\circ = 100^\circ$.
Sol. (A) $100^\circ$. [1.0 Mark]
Correct Answer: (A) $100^\circ$
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