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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let the domain of the function $f(x)=\log_3\log_5\left(7-\log_2(x^2-10x+85)\right)+\sin^{-1}\left(\left|\dfrac{3x-7}{17-x}\right|\right)$ be $(\alpha,\beta]$. Then $\alpha+\beta$ is equal to :
Solution
For $\log_3\log_5(7-\log_2(\cdots))$ to exist, we need $\log_5(7-\log_2(x^2-10x+85))>0$, so $7-\log_2(x^2-10x+85)>1$. Thus $\log_2(x^2-10x+85)<6\Rightarrow x^2-10x+21<0\Rightarrow 3Online Test Series, Information About Examination,
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