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Mathematics — CBSE Class 10 board question

Q1. [1]
$\tan 2A = 3 \tan A$ is true, when the measure of $\angle A$ is :
  1. (a) $90°$
  2. (b) $60°$
  3. (c) $45°$
  4. (d) $30°$
Previously asked in CBSE board exam
2025 30/4/1 Q8
Generated by claude-sonnet-4-6 · 2026-06-15 10:25 · grounding rag
Model Answer

(d) 0°

Wait — checking: $\tan 2A = 3\tan A$.

At A = 0°: LHS = tan 0° = 0; RHS = 3×0 = 0. ✓

At A = 30°: LHS = tan 60° = √3; RHS = 3×(1/√3) = √3. ✓

Since option (d) 30° satisfies the equation, the answer is (d) 30°.

Explanation

Substitute each option using Table 8.1 values. At A = 30°: tan 2A = tan 60° = √3 and 3 tan 30° = 3 × (1/√3) = √3. Both sides are equal, so A = 30° is correct. Examiners expect you to verify by substitution from the standard values table.

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