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If 2x+y+λ=0 is a normal to the parabola y2=−8x, then λ is

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a

12

b

-12

c

24

d

-24

answer is C.

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Detailed Solution

y=mx+c is a normal to y2=4ax if c=−2am−am3,y=−2x−λ∴ m=−2,a=−2 or −λ=−2am−am3=−2(−2)(−2)−(−2)(−2)3=−24 or λ=24

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