JEE Mathematics · Hard

Trigonometry: SOT MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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SOTHardQuestion 200054

Question

In a triangle ABC, if a = 2, b = 3 and C = 60°, then c equals:
  1. A
    √7
    Correct
  2. B
    √13
  3. C
    √5
  4. D
    √10

Correct answer

√7

Explanation

By cosine rule: c² = a² + b² − 2ab cos C = 4 + 9 − 2(2)(3)(1/2) = 13 − 6 = 7. So c = √7.