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

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 - Parabola Question with Solution | TestHub

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