A particle is projected with an angle of projection $\theta$ to the horizontal line passing through the points $( P , Q )$ and $( Q , P )$ referred to horizontal and vertical axes (can be treated as $x$-axis and $y$-axis respectively).

The angle of projection can be given by

  • [AIIMS 2015]
  • A

    $\tan ^{-1}\left[\frac{ P ^2+ PQ + Q ^2}{ PQ }\right]$

  • B

    $\tan ^{-1}\left[\frac{ P ^2+ Q ^2- PQ }{ PQ }\right]$

  • C

    $\tan ^{-1}\left[\frac{ P ^2+ Q ^2}{2 PQ }\right]$

  • D

    $\sin ^{-1}\left[\frac{ P ^2+ Q ^2+ PQ }{2 PQ }\right]$

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  • [JEE MAIN 2023]

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