The equation 3 x + 4 x = 6 has - Vidyadip

MCQ

The equation $3\cos x + 4\sin x = 6$ has

A
Finite solution
B
Infinite solution
C
One solution
✓
No solution

✓

Answer

Correct option: D.

No solution

d
(d) $3\cos x + 4\sin x = 6$

==> $\frac{3}{5}\cos x + \frac{4}{5}\sin x = \frac{6}{5}$

==> $\cos (x - \theta ) = \frac{6}{5}$,

$[{\rm{where\,\, }}\theta = {\cos ^{ - 1}}(3/5)]$

So, that equation has no solution.

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