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  • The line turns about a point on it, whose ordinate is equal to abscissa, through a

The line \mathrm{x+y=2} turns about a point on it, whose ordinate is equal to abscissa, through an angle \theta in the clockwise direction so that its equation becomes y=2 x-1. Then the value of the angle \theta is

Option: 1

\frac{\pi}{3}


Option: 2

\tan ^{-1}\left(\frac{1}{3}\right)


Option: 3

\tan ^{-1}(3)


Option: 4

none of these


Answers (1)

best_answer

\tan \theta=\left|\frac{2+1}{1-2}\right|=3
\Rightarrow \quad \theta=\tan ^{-1} 3

Posted by

vinayak

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