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Parametric Form of Tangent: Ellipse

If the line ...

Question

If the line $x + y - 1 = 0$ touches the parabola $y^{2} = k x$ , then the value of k is

4

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Solution

The correct option is C $- 4$
If line $x + y - 1 = 0$ touches parabola $y^{2} = k x$ ,
Then value of $k$ is:
If $y = - x + 1$ is tangent to $y^{2} = k x$ then
$c = \frac{a}{m} 1 = \frac{(\frac{k}{4})}{- 1} k = - 4$

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