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Statement I :The equation $3 \cos x + 4 \sin x = 6 h a s$ no solution
Statement II: Due to periodic nature of sine and cosine functions, the equation $3 \cos x + 4 \sin x = 6$ has infinitely many solutions.

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Statement I is false, Statement II is true

Statement I is true , statement II is true Statement II is incorrect explanation of statement I

Statement I is true, Statement II is false

Statement I is true , statement II is true Statement II is correct explanation of statement I

answer is C.

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Detailed Solution

$3 \cos x + 4 \sin = 6, d u r i n g b y \sqrt{a^{2} + b^{2}} o n b o t h s i d e$

$\frac{3}{5} \cos x + \frac{4}{5} \sin x = \frac{6}{5}, \sin (x + α) = \frac{6}{5}, n o s o l u t i o n$

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