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If the line x-1 is the dirctrix of the parabola y^2-Kx+2K=0,then one of the value of K is: (a) 1/6 , (b) 8 , (c) 4 , (d)1/4 ??

If the line x-1 is the dirctrix of the parabola y^2-Kx+2K=0,then one of the value of K is:


(a) 1/6 , (b) 8 , (c) 4 , (d)1/4 ??

Grade:12

2 Answers

Tanvi Dasaur
33 Points
11 years ago

 sry its x-1=0

If the line x-1=0  is the dirctrix of the parabola y^2-Kx+2K=0,then one of the value of K is:

(a) 1/6 , (b) 8 , (c) 4 , (d)1/4 ??

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Tanvi Dasaur

Given parabola

 y2-Kx+2K=0 

or  y2 =4(K/4)(x-2)

now compair it with standard form y2=4ax

we know that equation of directrix is x=-a

  for this case

    x-2 = -K/4 

  or  x= 2-K/4

 given directrix is x=1

equate both

  2-K/4 =1

 so K=4


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