Home
Class 12
MATHS
Find the equation to the ellipse whose o...

Find the equation to the ellipse whose one vertex is (3,1), the nearer focus is (1, 1) and eccentricity is 2/3.

Text Solution

Verified by Experts

The correct Answer is:
`5x^(2)+9y^(2)+30-18y-126=0`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise EXERCISE 2|9 Videos
  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-I)|15 Videos
  • ELLIPSE

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|18 Videos
  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse whose eccentricity is 1/2, the focus is (1,1) and the directrix is x-y+3=0

Find the equation to the ellipse whose one focus is (2, 1), the directrix is 2x-y+3=0 and the eccentricity is 1/sqrt(2)

Find the equation to the ellipse whose one focus is (2, 1) , the directrix is 2x-y+3=0 and the eccentricity is 1/sqrt(2) .

Find the equation of the ellipse whose centre is at the origin,foci are (1,0) and (-1,0) and eccentricity is 1/2 .

Find the equation of the ellipse whose focus is (1,0), the directrix is x+y+1=0 and eccentricity is equal to (1)/(sqrt(2))

Find the equation of the ellipse whose centre is at origin, the distance between foci is 2 and eccentricity is (1)/(sqrt(2)) .

Find the equation of the hyperbola whose one directrix is 2x+y=1 , the corresponding focus is (1, 2) and eccentricity is sqrt(3)

Find the equation of the ellipse whose : One focus is (6, 7) , directrix is x + y + 2 and eccentricity is 1/sqrt(3)

Find the equation of an ellipse whose axes are the x -and y -axis and whose one focus is at (4,0) and eccentricity is 4/5.