JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The equation

p \cos x - q \sin x = r

admits of a solution for

x

only, if

View answer and explanation

Correct option: B

-\sqrt{p^2+q^2} < r < \sqrt{p^2+q^2}

The correct answer is B because the equation has a solution only if

r

lies within the range of the expression, which is

-\sqrt{p^2+q^2} \leq r \leq \sqrt{p^2+q^2}

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