CameraIcon

SearchIcon

MyQuestionIcon

1

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

Focii of Hyperbola

If a hyperbol...

Question

If a hyperbola has one focus at the origin and its eccentricity is $\sqrt{2}$ . One of the directrices is $x + y + 1 = 0.$ Then the centre of the hyperbola is

A

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

B

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

C

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

D

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

Open in App

Solution

The correct option is A
From the above question centre of hyperbola i.e, the point of intersection of the asymptotes, is $(- 1, - 1)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If a hyperbola has one focus at the origin in and its eccentricity is

\sqrt{2}

. One of the directrices is

x + y + 1 = 0

. The the centre of the hyperbola is.

Q. If a hyperbola has one focus at the origin and its eccentricity is

\sqrt{2}

. One of the directrices is

x + y + 1 = 0.

Then the equations to its asymptotes are

Q. A hyperbola has one focus at the origin and its eccentricity =

\sqrt{2}

and one of its directrix is

x + y + 1 = 0

. If the equation to its asymptotes is

x + m = 0 a n d y + m = 0

m

Q. An ellipse has eccentricity

\frac{1}{2}

and a focus at the point

P (\frac{1}{2}, 1)

. One of its directrices is the common tangent nearer to the point

P

, to the circle

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

and the hyperbola

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

. The equation of the ellipse is:

Q. A hyperbola has focus at origin, its eccentricity is

\sqrt{2}

and corresponding directrix is

x + y + 1 = 0

. The equation of its asymptotes is/are:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Hyperbola and Terminologies

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Focii of Hyperbola

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon