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Questions  

The number of integral values of K for which the equation  7cosθ+5sinθ=2K+1 has at least one solution is

a
8
b
6
c
5
d
4

detailed solution

Correct option is A

The equation 7cosθ+5sinθ=2K+1 has solution if  ⇒−74≤2K+1≤74⇒−74−1≤2K≤74−1⇒−74−12≤K≤74−12⇒K=−4,−3,−2,−1,0,1,2,3

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