A ray of light moving parallel to the x- axis gets reflected from… - Vidyadip

MCQ

A ray of light moving parallel to the $x-$ axis gets reflected from a parabolic mirror whose equation is $(y -2)^2 = 4(x +1).$ After reflection, the ray must pass through the point :

A
$(-2, 0)$
B
$(-1, 2)$
✓
$(0, 2)$
D
$(2, 0)$

✓

Answer

Correct option: C.

$(0, 2)$

c
The equation of the axis of the parabola is $y-2=0$ which is parallel to the $x$ - axis. We know that any ray parallel to the axis of a parabola passes through the focus after reflection. Hence, $(0,2)$ is the focus.

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