CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If the parabolas
25{(x3)2+(y+2)2}=(3x4y2)2,y2=λx
are equal, then λ is


  1. 1
  2. 3
  3. 12
  4. 6


Solution

The correct option is D 6

Parabolas are equal if length of their latus rectam are equal

(x3)2+(y+2)2=(3x4y2)225(x3)2+(y+2)2=|3x4y2|5
LLR=2 Distance between focus and directrix=23×34×(2)232+(4)2=6
Also LLR of  y2=λx is λ
λ=6

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image