CameraIcon

SearchIcon

MyQuestionIcon

1

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

Equation of Tangent When a Point Is Given

The equation ...

Question

The equation of the tangent to the hyperbola $3 x^{2} - 4 y^{2} = 12$ which makes equal intercept on the axes is?

A

y = x + 1

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

B

y = x - 1

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

C

y = - x + 1

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

D

y = - x - 1

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

Open in App

Solution

The correct options are
C $y = - x + 1$
D $y = - x - 1$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the equation of tangents to the hyperbola

3 x^{2} - 4 y^{2} = 12

, which make equal intercepts on the axes.

Find the equation of tangent to the ellipse

3 x^{2} + 4 y^{2} = 12

which are parallel to the line

y = x - 1

Q. The equation of the plane which cuts equal intercepts of unit length on the coordinate axes is
(a) x + y + z = 1
(b) x + y + z = 0
(c) x + y − z = 1
(d) x + y + z = 2

Q. The equation of common tangent of the parabolas

y^{2} = 8 x

3 x^{2} - y^{2} = 3

Q. Find the equation of the plane which makes intercepts

1, - 1

2

x, y

z

axes respectively.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Line and a Parabola

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equation of Tangent When a Point Is Given

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon