Q107 / 170 · Manipal (MET) 2019 · Mathematics

The maximum value of $3 \cos \theta+4 \sin \theta$ is

A
$-5$
Correct answer
B
$5$
C
$25$
D
None of these

Solution

The maximum value of $3 \cos \theta+4 \sin \theta$ $=\sqrt{3^2+4^2}=\sqrt{25}=5$

Hence, the correct answer is option: 'B'.

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