Application of Derivatives 4 Question 23

####24. The number of values of $x$, where the function $f(x)=\cos x+\cos (\sqrt{2} x)$ attains its maximum, is(1998, 2M)

(a) 0

(b) 1

(c) 2

(d) infinite

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Answer:

Correct Answer: 24. (a)

Solution:

  1. The maximum value of $f(x)=\cos x+\cos (\sqrt{2} x)$ is 2 which occurs at $x=0$. Also, there is no other value of $x$ for which this value will be attained again.


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