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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If cos⁡  x−24  sin⁡x=  λcos⁡  (x+α),   0<α<π2\cos \,\,x - 24\,\,\sin x = \;\lambda \cos \,\,\left( {x + \alpha } \right),\,\;0 < \alpha < \frac{\pi }{2}, be true for all x  ∈Rx\; \in R, then

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Correct option: A
λ=25\lambda = 25
Option A (λ=25\lambda = 25) is correct because by rewriting the given expression and comparing coefficients, we can find that λ=25\lambda = 25.

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