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Circles
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10

Question:

[Section A]

If two tangents inclined at an angle of $60^\circ$ are drawn to a circle of radius $3$ cm, then the length of each tangent is:

(a) $3\sqrt3$ cm
(b) $3$ cm
(c) $6$ cm
(d) $\sqrt3$ cm

Step-by-Step Solution

Key Concept: Tangent length $= r \cot(\theta/2) = 3 \cot 30^\circ = 3\sqrt3$ cm.
Length $= r \cot 30^\circ = 3\sqrt3$ cm. [1.0 Mark]

Correct Answer: (a) 3√3 cm
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