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Question

Mathematics Question on integral

The locus of the middle points of all chords of the parabola y2 = 4ax passing through the vertex is

A

(A) a straight line

B

(B) an ellipse

C

(C) a parabola

D

(D) a circle

Answer

(C) a parabola

Explanation

Solution

Explanation:
2h = x, 2k = y y2 = 4ax K2 = 2ah y2 = 2ax