Boojho stands at A just on the side of a plane mirror as shown in figure. Can he see himself in the mirror? Also can he see the image of objects situated at P, Q and R?

The plane mirror forms a virtual image behind the mirror, at the same time distance at which the object is placed in front of the mirror. So, A will form image A'

P will form image P', Q will form image Q' and R will form R'

Sine mirror is not between A and A'

Boojho at A cannot see his refelction.

Similarly,

Since mirror is not between R and R'

Boojho at A cannot see reflection of point R.

But he can see images of point P and Q.