The number of all possible -tuples such that holds for all is:

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

The number of all possible 55-tuples (a1,a2,a3,a4,a5)(a_1,a_2,a_3,a_4,a_5) such that a1+a2sin⁡x+a3cos⁡x+a4sin⁡x+a5cos⁡x=0a_1+a_2\sin x+a_3\cos x+a_4\sin x+a_5\cos x=0 holds for all xx is: (1) zero (2) 11 (3) 22 (4) infinite

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