Home
Class 12
MATHS
The eccentricity of the hyperbola 3x^(2)...

The eccentricity of the hyperbola `3x^(2)-4y^(2)=-12` is

A

`sqrt(7/3)`

B

`(sqrt7)/(3)`

C

`(sqrt7)/(2)`

D

`sqrt(7/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - ELLIPSE|18 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos
  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

Find the centre, foci and eccentricity of the hyperbola 12x^(2)-4y^(2)-24x+32y-127=0

lf the eccentricity of the hyperbola x^2-y^2(sec)alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The eccentricity of the hyperbola (y^(2))/(9)-(x^(2))/(25)=1 is …………………

If e is the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and theta is the angle between the asymptotes, then cos.(theta)/(2) is equal to

let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal to that of the ellipse x^2+4y^2=4. if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is x^2/3-y^2/2=1 (b) a focus of the hyperbola is (2,0) (c) the eccentricity of the hyperbola is sqrt(5/3) (d) the equation of the hyperbola is x^2-3y^2=3

Find the centre, foci, and eccentricity of the hyperbola 11x^(2)-25y^(2)-44x+50y-256=0

The eccentricity of the hyperbola |sqrt((x-3)^2+(y-2)^2)-sqrt((x+1)^2+(y+1)^2)|=1 is ______

If e and e' are the eccentricities of the hyperbola x^2/a^2-y^2/b^2=1 and y^2/b^2-x^2/a^2=1, then the point (1/e,1/(e')) lies on the circle (A) x^2+y^2=1 (B) x^2+y^2=2 (C) x^2+y^2=3 (D) x^2+y^2=4