Home
Class 11
MATHS
Find the equation of ellipse whole foci ...

Find the equation of ellipse whole foci are `(pm1,0)` and eccentricity is `(1)/(3)`.

Text Solution

Verified by Experts

Here `e=(1)/(3)` and co-ordinates of foci `(pmae,0)=(pm1,0)`
`:.` ae=1
`rArr" "a*(1)/(3)=1`
`rArr" "a=3`
`"Now "b^(2)=a^(a)(1-e^(2))`
`=9(1-(1)/(9))=8`
`:.` Equation of ellipse
`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`
`rArr" "(x^(2))/(9)+(y^(2))/(8)=1`
`rArr" "8x^(2)+9y^(2)=72`.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Example|3 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11A|38 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse whose foci are (pm4,0) and eccentricity is (1)/(3) .

Find the equation of the ellipse whose foci are (pm2,0) and eccentricity is (1)/(3) .

Find the equation of the ellipse whose foci are (0,pm1) and eccentricity is (1)/(2) .

Find the equation of the ellipse whose foci are (0,pm3) and eccentricity is (3)/(5) .

The equation of the ellipse whose foci are (pm2,0) and eccentricity is 1/2 is

The equation to the ellipse whose foci are (pm2,0) and eccentricity 1/2 is

Find the equation of the ellipse whose foci re (4,0) and (-4,0) eccentricity =1/3

The equation of the ellipse whose foci are (0,+-2) and eccentricity 2/3 is

The equation of the ellipse with foci (pm 2, 0) and eccentricity =1/2 is

Find the equation of the ellipse whose foci are at (pm 1, 0) and e=1/2.