Question

The minimum value of $7\cos \theta +24\sin \theta$ is -

• A. 25
• B. -7
• C. -25
• D. None

Answer 1

The correct option is C -25

As $-\sqrt{a^2+b^2}\le a\sin x+b\cos x\le \sqrt{a^2+b^2}$
$\therefore -25\le 7\cos \theta +24\sin \theta \le 25$