You visited us 2 times! Enjoying our articles? Unlock Full Access!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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
$c = \frac{a}{m} 1 = \frac{(\frac{k}{4})}{- 1} k = - 4$

Suggest Corrections

Similar questions

x + y - 1 = 0

y^{2} = k x,

| k |

y = k x

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

k

If the line x-3y+k =0 touches the parabola $3 y^{2} = 4 x$ then the value of k is

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

y = - \frac{1}{2} x^{2} - 4 x + 3

k

x - 1 = 0

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

k

Join BYJU'S Learning Program