Home
Class 12
MATHS
If the normal drawn at one end of the la...

If the normal drawn at one end of the latus rectum of the ellipse `b^(2)x^(2)+a^(2)y^(2)=a^(2)b^(2)` with eccentricity 'e' passes through one end of the minor axis. Then,

A

`e^4 + e^2 = 2`

B

`e^4 - e^2 =1`

C

`e^4 + e^2 =1`

D

`e^2 + e=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EAMCET - 2018 (TS) SHIFT - 1

    SIA PUBLICATION|Exercise EXERCISE - Physics|35 Videos

  • EAMCET - 2018 (TS) SHIFT - 1

    SIA PUBLICATION|Exercise EXERCISE - Chemistry|8 Videos

  • DIFFERENTIATION

    SIA PUBLICATION|Exercise Problems|50 Videos

  • EAMCET - 2018 (TS) SHIFT - 2

    SIA PUBLICATION|Exercise Chemistry|18 Videos

Similar Questions

Explore conceptually related problems

If the normal at the end of latus rectum of an ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 of eccentricity e passes through one end of the minor axis then e^(4)+e^(2)=

The length of the latus rectum of the ellipse (x-1)^(2)/4+(y+2)^(2)/25=1 is

The length of the latus rectum of the ellipse 9x^(2)+25y^(2)-18x-100y-116=0 is

The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

If the normal at one end of a latus rectum of the ellipse x^2/a^2+y^2/b^2=1 passes through one end of the minor axis, then show that e^4+e^2=1 [ e is the eccentricity of the ellipse]

If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of minor axis then

If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then its eccentricity e is

If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is 1/2 then alpha=