MyQuestionIcon

1

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

Slope Form of Tangent: Hyperbola

The equation ...

Question

The equation of the common tangents to $x^{2} + 4 y^{2} = 8$ and $y^{2} = 4 x$ can be

A

2 x + y - 4 = 0

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

B

2 x - y + 4 = 0

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

C

x - 2 y + 4 = 0

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

D

x + 2 y + 4 = 0

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

Open in App

Solution

The correct option is D $x + 2 y + 4 = 0$
Let the tangent be $y = m x + \frac{1}{m}$
$x^{2} + 4 {(m x + \frac{1}{m})}^{2} = 8$ has equal roots
$\Rightarrow m = - \frac{1}{2}, m = \frac{1}{2}$

Suggest Corrections

thumbs-up

4

Similar questions

Q. The equation of the common tangent to

x^{2} = 6 y

2 x^{2} - 4 y^{2} = 9

Q. The number of common tangents that can be drawn to the circle

x^{2} + y^{2} - 4 x - 6 y - 3 = 0

x^{2} + y^{2} + 2 x + 2 y + 1 = 0

Q. The number of common tangents that can be drawn to the circle

x^{2} + y^{2} - 4 x - 6 y - 3 = 0

x^{2} + y^{2} + 2 x + 2 y + 1 = 0

is ___________.

Q. The number of common tangents that can be drawn to the circles

x^{2} + y^{2} - 12 x + 8 y + 48 = 0

x^{2} + y^{2} - 4 x + 2 y - 4 = 0

Q. Equation of a common tangent to the circle,

x^{2} + y^{2} - 6 x = 0

and the parabola,

y^{2} = 4 x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Lines and Points

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Slope Form of Tangent: Hyperbola

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon