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Statement-1: If alpha,beta roots of the ...

Statement-1: If `alpha,beta` roots of the equation `18(tan^(-1)x)^(2)-9pi tan^(-1)x+pi^(2)=0 then alpha+beta =(4)/sqrt(3)` Statement-2: `sec^(2)cos^(-1)(1/4)+cosec^(2)sin^(-1)(1/5)=41`

A

Statement-1 is is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

AI Generated Solution

To solve the given problem, we need to analyze both statements separately. ### Statement 1: We are given the equation: \[ 18(\tan^{-1} x)^2 - 9\pi \tan^{-1} x + \pi^2 = 0 \] Let \( y = \tan^{-1} x \). Then, we can rewrite the equation as: \[ 18y^2 - 9\pi y + \pi^2 = 0 \] ...
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