Two point charges, $2\mathrm{.}5$ C located at origin and $-5\mathrm{.}0$ C located at x $=5\mathrm{.}0$ cm$.$ Where should a third charge, $4\mathrm{.}2$ C $$be placed such that the net force on it is zero.

Group of answer choices

$-5$ cm

$12\mathrm{.}1$ cm

$17\mathrm{.}1$ cm

$-12\mathrm{.}1$ cm