Consider the parabola x 2 + 4 y = 0 . Let p = ( a , b ) 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

Question

Consider the parabola x 2 + 4 y = 0 . Let p = ( a , b ) 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

TestHub · Accepted Answer

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

Mathematics - Straight Lines Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main - 1 year (12th class)