A Convex mirror produces the magnification 1/3 and 1/4 when the object is placed at the points P and Q in front of the mirror.

Q is far from the mirror as compared to P

Let object distance is u .

Magnification m = \frac{-v}{u} = \frac{1}{3}$

$\Rightarrow v = \frac{-u}{3}$

Mirror formula is $\Rightarrow \frac{1}{v} + \frac{1}{u} = \frac{1}{f}$

$ \frac{-3}{u} + \frac{1}{u} = \frac{1}{f} \Rightarrow u = -2f$

If Magnification is $\frac{1}{4}$ then from similar method u' = -3f$

⇒ Q is far from the mirror as compared to P