Three charges $ - {q_1},\,\, + {q_2}$ and $ - {q_3}$ are placed as shown in the figure. The $x$-component of the force on $ - {q_1}$ is proportional to

115-33

  • [AIEEE 2003]
  • A

    $\frac{{{q_2}}}{{{b^2}}} - \frac{{{q_3}}}{{{a^2}}}\,\sin \theta $

  • B

    $\frac{{{q_2}}}{{{b^2}}} - \frac{{{q_3}}}{{{a^2}}}\,\cos \theta $

  • C

    $\frac{{{q_2}}}{{{b^2}}} + \frac{{{q_3}}}{{{a^2}}}\,\sin \theta $

  • D

    $\frac{{{q_2}}}{{{b^2}}} + \frac{{{q_3}}}{{{a^2}}}\,\cos \theta $

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  • [JEE MAIN 2022]