Conic Sections Question 52

Question: The point of intersection of the latus rectum and axis of the parabola $ y^{2}+4x+2y-8=0 $

Options:

A) (5/4, -1)

B) (9/4, -1)

C) (7/2, 5/2)

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

The required point is nothing but the focus of the parabola. Therefore $ {{(y+1)}^{2}}=-(4x-9)=-4( x-\frac{9}{4} ) $

$ S\equiv ( -1+\frac{9}{4},-1 ) $ or $ ( \frac{5}{4},-1 ) $ .