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If 2x+y+k=0 is a normal to the parabola y^2 =-16x , find k

If 2x+y+k=0 is a normal to the parabola y^2 =-16x , find k

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear Aditya
 
The gen. eqn of the normal to y^2=-16x is y=mx + 8m + 4m^3 

Compare the cofficients and k can be found. 
As m=2 

The eqn. is y= 2x+ 16 + 32

Therefore, K=48
 
Regards
Arun (askIITians forum expert)

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