Conic Sections Question 500

Question: The ends of latus rectum of parabola $ x^{2}+8y=0 $ are

[MP PET 1995]

Options:

A) (-4, -2) and (4, 2)

B) (4, -2) and (-4, 2)

C) (-4, -2) and (4, -2)

D) (4, 2) and (-4, 2)

Show Answer

Answer:

Correct Answer: C

Solution:

$ x^{2}=-8y $

therefore $ a=-2 $ . So, focus $ =(0,-2) $

Ends of latus rectum $ =(4,-2),(-4,-2) $ .

Trick : Since the ends of latus rectum lie on parabola, so only points $ (-4,-2) $ and $ (4,-2) $ satisfy the parabola.



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