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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]
In the given figure, $AT$ is a tangent to the circle at $A$ with center $O$. If $\angle ABC = 50^\circ$, then $\angle CAT$ is equal to:
(A) $40^\circ$
(B) $50^\circ$
(C) $60^\circ$
(D) $70^\circ$
In the given figure, $AT$ is a tangent to the circle at $A$ with center $O$. If $\angle ABC = 50^\circ$, then $\angle CAT$ is equal to:
(A) $40^\circ$
(B) $50^\circ$
(C) $60^\circ$
(D) $70^\circ$
Step-by-Step Solution
Key Concept: Alternate segment theorem: Angle between tangent and chord equals angle subtended by chord in opposite segment.
Sol. (B) $50^\circ$. [1.0 Mark]
Correct Answer: (B) $50^\circ$
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