Number of solution (s) of equation ln(1 + sin^2x) = 1 -ln(5 + x^2) is -

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Trigonometrical Equations

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Number of solution$(s)$ of the equation $ln(1 + sin^2x) = 1 -ln(5 + x^2)$ is -

A

$0$

B

$1$

C

$2$

D

$5$

Solution

$\left.\ln \left(\left(1+\sin ^{2} x\right)\right)\left(5+x^{2}\right)\right)=1$

least value of $\mathrm{LHS}=\langle\mathrm{n} 5(>1)$

$\therefore $ No solution.

Standard 11

Mathematics

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