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Q.

The coordinates of the end point of the latus rectumof the parabola (y−1)2=2(x+2) which does notlie on the line 2x + y + 3 = 0 are

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a

(– 2, 1)

b

(– 3/2, 1)

c

(– 3/2, 2)

d

(– 3/2, 0)

answer is C.

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Detailed Solution

Y2=4AX where Y=y−1,X=x+2,A=1/2. End of the L.R. is (X=A,Y=±2A)=(−3/2,2)or (– 3/2, 0) but (– 3/2, 0) lies on the line.
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The coordinates of the end point of the latus rectumof the parabola (y−1)2=2(x+2) which does notlie on the line 2x + y + 3 = 0 are