Home
Class 12
MATHS
Find the eccentricity of the hyperbola w...

Find the eccentricity of the hyperbola whose latusrectum and transverse axis are of same length.

Text Solution

Verified by Experts

The correct Answer is:
`=>e^(2)-1=1=>e^(2)=2=>e=sqrt2`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)|17 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -D)|8 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci , is

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is : (1) 4/3 (2) 4/(sqrt(3)) (3) 2/(sqrt(3)) (4) sqrt(3)

Find the eccentricity of a hyperbola whose conjugate axis and latus rectum are equal.

Find the eccentricity of a hyperbola whose conjugate axis and latus rectum are equal.

Find the equation of the hyperbola, whose axes are axes of coordinates and transverse axis is 2a and the vertex bisects the line segment joining the centre and focus.

Eccentricity of a rectangular hyperbola is -

If S_1a n dS_2 are the foci of the hyperbola whose length of the transverse axis is 4 and that of the conjugate axis is 6, and S_3a n dS_4 are the foci of the conjugate hyperbola, then the area of quadrilateral S_1S_3S_2S_4 is 24 (b) 26 (c) 22 (d) none of these

Find the equation of the hyperbola whose axes are the axes of coordinates and length of conjugate axis is 5 and the distance between the foci is 13.

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of transverse and conjugate axes are 5 and 6 respectively

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of conjugate axis and latus rectum are 2 (8)/(3) respectively.