Home
Class 12
MATHS
The equation of hyperbola referred to it...

The equation of hyperbola referred to its axes as axes of coordinate whose distance between the foci is 20 and eccentricity equals `sqrt2` is

A

`x^(2)-y^(2)=25`

B

`x^(2)-y^(2)=50`

C

`x^(2)-y^(2)=125`

D

`x^(2)+y^(2)=25`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : Single Option Correct Type)|15 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

Find the standard equation of hyperbola in each of the following cases: (i) Distance between the foci of hyperbola is 16 and its eccentricity is sqrt2. (ii) Vertices of hyperbola are (pm4,0) and foci of hyperbola are (pm6,0) . (iii) Foci of hyperbola are (0,pmsqrt(10)) and it passes through the point (2,3). (iv) Distance of one of the vertices of hyperbola from the foci are 3 and 1.

The equation of the ellipse with its axes as the coordinate axes respectively and whose minor axis =6 and eccentricity= 1/2 is

Find the equation of the ellipse whose centre is at origin, the distance between foci is 2 and eccentricity is (1)/(sqrt(2)) .

Find the equation of the ellipse (referred to its axes as the axes of x and y, respectively) whose foci are (+-2,0) and eccentricity is (1)/(2)

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

Find the equation of the hyperbola with eccentricity sqrt(2) and the distance between whose foci is 16.

Find the equation to the hyperbola referred to its axes as coordinate axes whose conjugate axis is 7 and passes through the point (3,-2).

Standard equation of the hyperbola having distance between foci to 32 , and eccentricity 2 sqrt(2) , is