Home
Class 12
MATHS
An ellipse hase semi-major of length 2 a...

An ellipse hase semi-major of length 2 and semi-minor axis of length 1. It slides between the coordinates axes in the first quadrant while mantaining contact with both x-axis and y-axis. The locus of the centre of the ellipse is

A

`x^(2)+y^(2)=3`

B

`x^(2)+y^(2)=5`

C

`(x-2)^(2)+(y-1)^(2)=5`

D

`(x-2)^(2)+(y-1)^(2)=3`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|36 Videos

Similar Questions

Explore conceptually related problems

An ellipse having length of semi major and minor axes 7 and 24 respectively slides between the coordinate axes. If its centre be (alpha, beta) then alpha^2 + beta^2 =

An ellipse having semi major and minor axes 24 and 7 slieds between two lines at right angles to one another. If A be the area enclosed by the locus of the centre of the ellipse then 10/pi A=

The relationship between, the semi-major axis, seimi-minor axis and the distance of the focus from the centre of the ellipse is

An ellipse with major and minor axis 6sqrt3 and 6 respectively, slides along the coordinates axes and always remains confined in the first quardrant. If the length if arc decribed by center of ellipse is (pilambda)/6 then the value of lambda is

If the length of the major axis of an ellipse in 3 times the length of minor axis , then its eccentricity is

For the ellipse, 9x^(2)+16y^(2)=576 , find the semi-major axis, the semi-minor axis, the eccentricity, the coordinates of the foci, the equations of the directrices, and the length of the latus rectum.

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If phi is the angle between the CP and the normal at point P on the ellipse, and the greatest value tan phi is 3/4 (where C is the centre of the ellipse). Also semi-major axis is 10 units . The eccentricity of the ellipse is

An ellipse is drawn with major and minor axis of length 10 and 8 respectively. Using one focus a centre, a circle is drawn that is tangent to ellipse, with no part of the circle being outside the ellipse. The radius of the circle is

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^2+4y^2=36 .

Find the eccentricity, the semi-major axis, the semi-minor axis, the coordinates of the foci, the equations of the directrices and the length of the latus rectum of the ellipse 3x^(2)+4y^(2)=12 .

Home
Profile