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

Options

A. `(q_(2))/(b^(2))-(q_(3))/(a^(2))sin theta`
B. `(q_(2))/(b^(2))-(q_(3))/(a^(2)) cos theta`
C. `(q_(2))/(b^(2))+(q_(3))/(a^(2)) sin theta`
D. `(q_(2))/(b^(2))+(q_(3))/(a^(2)) cos theta`

Answer

C

Explanation

Use superposition principle