Home
Class 11
MATHS
If e is the eccentricity of the ellipse ...

If e is the eccentricity of the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a lt b)`, then ……..

A

`b^(2) = a^(2) (1 - e^(2))`

B

`a^(2) = b^(2) (1 - e^(2))`

C

`a^(2) = b^(2) (e^(2) - 1)`

D

`b^(2) = a^(2) (e^(2) - 1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

Find the area of the ellipse (x^2 )/(a^2) + (y^2)/(b^2)=1 (a gt b) .

Area bounded between two latus-rectum of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2))= 1, a gt b is _____ (where, e is eccentricity of the ellipse)

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes equal intercepts of length l on cordinates axes, then the values of l is

Find the eccentricity of the hyperbola 9y^(2) - 4x^(2) = 36 .

Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with its vertex at one end of the major axis.

Eccentricity of ellipse (x^(2))/(169) + (y^(2))/(25) = 1 and (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 then (a)/(b) = ……..

Find the area of the smaller region bounded by the ellipse x^(2)/a^(2) + y^(2)/b^(2) =1 and the line x/a + y/b =1 .

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1

y^(2)= a(b^(2) - x^(2))