Question

Consider the parabola $X^2+4Y=0$. Let be any fixed point inside the parabola and let 'S' be the focus of the parabola. Then the minimum value at SQ + PQ as point Q moves on the parabola is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Let foot of perpendicular from Q to the directrix be N
$\Rightarrow$ SQ + PQ = QN + PQ is minimum it P, Q & N are collinear
So minimum value of SQ + PQ = PN = 1 - b