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If the line x-1=0 is the directrix of th...

If the line `x-1=0` is the directrix of the parabola `y^2-k x+8=0` , then one of the values of `k` is `1/8` (b) 8 (c) 4 (d) `1/4`

A

-8

B

`1//8`

C

`1//4`

D

4

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( k \) such that the line \( x - 1 = 0 \) is the directrix of the parabola given by the equation \( y^2 - kx + 8 = 0 \). ### Step 1: Rewrite the equation of the parabola We start with the equation of the parabola: \[ y^2 - kx + 8 = 0 \] Rearranging this gives: ...
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