JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Understanding +4 | -1

The equation

a\,\,\sin \,\,x + b\,\,\cos \,\,x = c

where

\left| {\,c\,} \right|\,\, > \sqrt {{a^2} + {b^2}}

has

View answer and explanation

Correct option: C

No solution

Option C (No solution) is correct because the maximum value of

a \sin x + b \cos x

\sqrt{a^2 + b^2}

, and if

|c| > \sqrt{a^2 + b^2}

, there is no solution.

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