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Questions  

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

a
12
b
-12
c
24
d
-24

detailed solution

Correct option is C

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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