MCQ
Angle between $x = 2$ and $x - 3y = 6$ is
  • A
    $\infty $
  • ${\tan ^{ - 1}}(3)$
  • C
    ${\tan ^{ - 1}}\left( {\frac{1}{3}} \right)$
  • D
    None of these

Answer

Correct option: B.
${\tan ^{ - 1}}(3)$
b
(b) $\theta = {90^o} - {\tan ^{ - 1}}\left( {\frac{1}{3}} \right)$

$\tan \theta = \cot \left[ {{{\tan }^{ - 1}}\left( {\frac{1}{3}} \right)} \right] = 3$

$ \Rightarrow \theta = {\tan ^{ - 1}}(3)$.

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