First slide

Parabola

Question

The coordinates of the end point of the latus rectum
of the parabola $(y - 1)^{2} = 2 (x + 2)$ which does not
lie on the line $2 x + y + 3 = 0$ are

Moderate

A

(– 2, 1)
B

(– 3/2, 1)
C

(– 3/2, 2)
D

(– 3/2, 0)

Solution

$Y^{2} = 4 A X$ where $Y = y - 1, X = x + 2, A = 1 / 2 .$
End of the L.R. is $(X = A, Y = \pm 2 A) = (- 3 / 2, 2)$
or (– 3/2, 0) but (– 3/2, 0) lies on the line.

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