If the vertex =(2,0) and the extremities of the latus rectum are … - Vidyadip

MCQ

If the vertex $=(2,0)$ and the extremities of the latus rectum are $(3,2)$ and $(3,-2)$, then the equation of the parabola is:

A
$\mathrm{y}^2=2 \mathrm{x}-4$
B
$x^2=4 y-8$
✓
$y^2=4 x-8$
D
None

✓

Answer

Correct option: C.

$y^2=4 x-8$

$y^2=4 x-8$

Solution:
$y^2=4 a x$
$(y-0)^2=4 a(x-2)$
$y^2=4 a(x-2)$
$y^2=4(x-2)$
$y^2=4 x-8$

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