Mathematics Mock Test - 11

Topics Covered

Sample Questions from this Test

1. If $2f(x)+f\left(\frac{1}{x}\right)=\log x$, for all $x>0$, then $f(e^x)$ is:
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2. Find the principal value of ${\cot }^{-1}\left(-\frac{1}{\sqrt{3}}\right)$.
3. If $\Delta =\left|\begin{array}{ccc}0& a-b& a-c\\ b-a& 0& b-c\\ c-a& c-b& 0\end{array}\right|$, then $\Delta$ equals:

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