If and , then the number of distinct solutions of…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If ∣k∣=5|k|=5 and 0∘≤θ≤360∘0^\circ\le\theta\le360^\circ, then the number of distinct solutions of 3cos⁡θ+4sin⁡θ=k3\cos\theta+4\sin\theta=k is: (1) Zero (2) Two (3) One (4) Infinite

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