If P is the point (1, 0) and Q lies on the parabolay2=36x then the locus of the mid point of PQ is

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y2=9(2x−1)

y2=9(x+2)

y2=2(x−9)

x2=9(y−2)

answer is A.

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Detailed Solution

Let the coordinates of Q be 9t2,18t coordinatesof R the mid point of PQ are 9t2+12,9t=(x,y)Locus of R is2x=9y92+1⇒y2=9(2x−1)

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