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CGP EDU Academic Team
Published on: August 13, 2026
If 2x+y+k =0 is a normal to y 2 = -8x, then k =
Text Solution
Verified by ExpertsThe correct answer is:
D
The normal to the parabola y 2 = 4ax is y+xt = 2at + at 3 .
∴ ∴ The normal to the parabola y 2 = -8x is y+xt = -4t – 2t 3 ;
Compare this with y+2x = -K
⇒ ⇒ t = 2 ⇒ ⇒ -K = -4t – 2t 3 ⇒ ⇒ K = 4t + 2t
3 = 8 + 16 = 24
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