Home
Class 11
MATHS
The eccentricity of the ellipse (x^(2))/...

The eccentricity of the ellipse `(x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ` is always ,

A

1

B

less than 1

C

greater than 1

D

none of these.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (H) (LONG ANSWER TYPE QUESTIONS I )|6 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose latus rectum is half of its major axis.(a>b)

If the eccentricity of the ellipse,(x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1 is (1)/(sqrt(6)) then latus rectum of ellipse is

Knowledge Check

  • 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)`

  • If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) , then

    A
    `a^(2) = b^(2) (1-e^(2))`
    B
    `b^(2) = a^(2)(1-e^(2))`
    C
    `a^(2) = b^(2)(e^(2) -1)`
    D
    `b^(2) = a^(2)(e^(2) -1)`

  • The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

    A
    `(1)/(sqrt(2))`
    B
    `sqrt(2)`
    C
    `(1)/(2)`
    D
    2

    • Similar Questions

    Explore conceptually related problems

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

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

    Find the eccentricity of the ellipse (x^2)/( 49) + (y^2)/( 36) =1 .

    Find the eccentricity of the ellipse (x^2)/(4) = (y^2)/( 25)=1 .

    Find the eccentricity of the ellipse (x^2) /( 36 ) + (y^2)/( 16) = 1 .

    Home
    Profile