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Question

The coordinates of end point of the latus rectum of the parabola (y−1)2=4(x+1) are

A
(0,3)
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B
(0,1)
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C
(0,1)
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D
(1,3)
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Solution

The correct option is A (0,1)
Given equation of parabola (y1)2=4(x1)

can be rewritten as Y2=4X....(i)

where, Y=y1 and X=x+1

y=Y+1 and x=X1

Thus, it is shifting the origin at (1,1)

From Eq. (i),

Y2=4X

The coordinates of the endpoints of latus rectum are

X=1,Y=2 and X=1,Y=2

Hence, the coordinates of the end points of the latusrectum are (0,3) and (0,1).

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