Home
Class 12
MATHS
If the eccentricity of an ellipse is 1/s...

If the eccentricity of an ellipse is `1/sqrt2`, then its latusrectum is equal to its

A

minor axis

B

semi minor axis

C

major axis

D

semi major axis

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity of an ellipse if its latus rectum is equal to one-half of its major axis.

Let the equation of ellipse be x^(2)/(a^(2)+1)=y^(2)/(a^(2)+2)=1 Statement 1 If eccentricity of the ellipse be 1/sqrt6 , then length of latusrectum is 10/sqrt6 . Statement 2 Length of latusrectum= (2(a^(2)+1))/(sqrt(a^(2)+2))

Knowledge Check

  • If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectum is equal to its

    A
    minor axis
    B
    semi-minor axis
    C
    major axis
    D
    semi-major axis

  • What is the eccentricity of an ellipse, if its latustrectum is equal to one - half of its minor axis?

    A
    `1//4`
    B
    `1//2`
    C
    `sqrt3//4`
    D
    `sqrt3//2`

  • The eccentricity of an ellipse whose length of latus rectum is equal to distance between its foci, is

    A
    `2 sin 18^@`
    B
    `2 cos 36^@`
    C
    `sin 18^@`
    D
    `cos 36^@`

    • Similar Questions

    Explore conceptually related problems

    Find the eccentricity of an ellipse if its latus rectum is one-third of its major axis.

    If the eccentricity of an ellipse is (5)/(8) and the distance between its foci is 10, then find the latusrectum of the ellipse.

    If the eccentricity of an ellipse is (4)/(9) and the distance between its foci is 8 units, then find the length of the latus rectum of the ellipse.

    Find the eccentricity of the ellipse (2)/( sqrt3)

    the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose latus rectum is half of its minor axes , is

    Home
    Profile