Question

A ray of light moving parallel to x-axis gets reflected from the parabolic mirror whose equation is $(y-2{)}^2=4(x+1)$. What will be the coordinates of point on the axis of parabola through which the ray pass after reflection?

• A. $(1,-2)$
• B. $(0,2)$
• C. $(-1,2)$
• D. $(2,0)$

Answer 1

The correct option is B $(0,2)$

We know that when the incident rays are parallel to axis of parabola, after reflection it must pass through focus of parabola.
So, for the given parabola $(y-2{)}^2=4(x+1),$ the coordinates of focus will be $(a+h,k)$ i.e. $(0,2)$