MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Slope Form a Line

If the line x...

Question

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

Open in App

Solution

If $y = - x + 1$ is tangent to $y^{2} = k x$ then
using $c = \frac{a}{m}$
$1 = \frac{k / 4}{- 1}$
$\Rightarrow k = - 4 ∴ | k | = 4$

Suggest Corrections

thumbs-up

8

Similar questions

x + y - 1 = 0

touches the parabola

y^{2} = k x

, then the value of k is

y = k x

touches the parabola

y = {(x - 1)}^{2}

, then the values of

k

k

x - y + 3 = 0

touches the parabola

y^{2} = 4 k x

x - 1 = 0

is the directrix of the parabola

y^{2} - k x + 8 = 0,

k

x + 1 = 0

is the directrix of parabola

y^{2} - k x + 8 = 0

, then one of the value of

k

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Slope Form a Line

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon