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CGP EDU Academic Team
Published on: August 13, 2026
The no. of integral values of λ for which the equation 7 cosx + 5 sin x = 2 λ + 1 has a solution is
Text Solution
Verified by ExpertsThe correct answer is:
8
Ans. 8
Sol. 7 cosx + 5 sinx ∈ 
∴ – 
≤ 2 λ + 1 ≤ 
∴ – 9 ⋅ 6 ≤ 2 λ ≤ 7 ⋅ 6
– 4 ⋅ 8 ≤ λ ≤ 3 ⋅ 8
λ = – 4, –3, – 2, – 1, 0, 1, 2,3
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