Charges $Q _{1}$ and $Q _{2}$ arc at points $A$ and $B$ of a right angle triangle $OAB$ (see figure). The resultant electric field at point $O$ is perpendicular to the hypotenuse, then $Q _{1} / Q _{2}$ is proportional to

981-228

  • [JEE MAIN 2020]
  • A

    $\frac{ x _{2}^{2}}{ x _{1}^{2}}$

  • B

    $\frac{x_{1}^{3}}{x_{2}^{3}}$

  • C

    $\frac{x_{1}}{x_{2}}$

  • D

    $\frac{ x _{2}}{ x _{1}}$

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