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Question

The line x-1=0 is the directrix of the parabola y2kx+8=0. Then one of the values of k is


A

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B

8

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C

4

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D

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Solution

The correct option is C

4


The parabola is y2=4.k4(x8k).
Putting y=Y, x-8k=X, the equation is Y2=4.k4.X
The directrix is X+k4=0,i.e. x8k+k4=0.
But x-1=0 is the directrix. So, 8kk4=1 k=8,4.


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