Class 12

04. Functions question bank (Maths)

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Q1.

If \(f(x) = \cos(\log x)\), then  
\(f(x)f(y) - \tfrac{1}{2}\left[f\left(\tfrac{x}{y}\right) + f(xy)\right] =\)  

(A)
1
(B)
\(\tfrac{1}{2}\)
(C)
2
(D)
None of these
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Q2.

If \(f(x) = \frac{1-x}{1+x}\), then \(f[f(\cos 2\theta)] =\)  

(A)
\(\tan 2\theta\)
(B)
\(\sec 2\theta\)
(C)
\(\cos 2\theta\)
(D)
\(\cot 2\theta\)
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