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AP EAMCET · Maths · Parabola

The point of intersection of the latus rectum and axis of the parabola y2+4x+2y-8=0 is

  1. A 94,-1
  2. B 54,-1
  3. C 72,52
  4. D -54,1
Verified Solution

Answer & Solution

Correct Answer

(B) 54,-1

Step-by-step Solution

Detailed explanation

The point of intersection of the latus rectum and axis of the parabola y2+4x+2y-8=0 is the focus of the parabola. y2+4x+2y-8=0 ⇒y2+2y+1=-4x+8+1 ⇒y+12=4-1x-94 We know that the focus of the parabola y-k2=4ax-h is S≡a+h,k. So, the focus of the given parabola is…