Home
Class 12
MATHS
Find the eqution of an ellipse having ma...

Find the eqution of an ellipse having major axis along the line y=4 the point (2,1) as one extremity of theminor axis and eccentricity as `(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse,with major axis along the x-axis and passing through the points (4,3) and

Find the equation of the ellipse whose major axis is 8 and eccentricity (1)/(2) .

Knowledge Check

  • Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. if a = 4, then the equation of the ellipse having the line segment joining the foci of the parabolas P_(1) and P_(2) as the major axis and eccentricity equal to (1)/(2) is

    A
    `(x^(2))/(4) + (y^(2))/(3) =1`
    B
    `(x^(2))/(3) + (y^(2))/(4) =1`
    C
    `(x^(2))/(16) + (y^(2))/(12) =1`
    D
    `(x^(2))/(12) + (y^(2))/(16) =1`

  • The equation of an ellipse, whose major axis = 8 and eccentricity = 1/2, is

    A
    `3x^2 +4y^2 =12`
    B
    `3x^2 + 4y^2 =48`
    C
    `4x^2 + 3y^2 =48`
    D
    `3x^2 + 9y^2 =12`

  • The foci of an ellipse are (-2,4) and (2,1). The point (1,(23)/(6)) is an extremity of the minor axis. What is the value of the eccentricity?

    A
    `(9)/(13)`
    B
    `(3)/(sqrt(13))`
    C
    `(2)/(sqrt(13))`
    D
    `(4)/(13)`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of ellipse,Centre at (0,0) major axis on the y-axis and passes through the points (3,2) and (1,6) .

    Find the equation of the ellipse passing through the point (3,2), having centre at (0,0) and major axis on y- axis.

    The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

    If the length of the major axis of the ellipse (x^2/a^2)+(y^2/b^2)=1 is three times the length of minor axis, its eccentricity is

    If the length of the major axis of the ellipse (x^2/a^2)+(y^2/b^2)=1 is three times the length of minor axis, its eccentricity is

    Home
    Profile