Home
Class 11
MATHS
Find the equation of an ellipse the dist...

Find the equation of an ellipse the distance between the foci is 8 units and the distance between the directrices is 18 units.

A

`5x ^(2) - 9y ^(2) =45`

B

`9x ^(2) + 5y ^(2) =180`

C

`x ^(2) +9y ^(2) =180`

D

`5x^(2) + 9y^(2) =45`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of ellipse in standard form if,: The distance between foci is 6 and the distance between directrices is 50/3

Find the eccentricity of an ellipse if the distance between its directions is three times the distance between its foci.

Find the eccentricity of an ellipse if the disctance between its directrices is three times the distance between its foci.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 4 and distance between the directrices is 24.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 10 and distance between the directrices is 12.

Find the equation of the ellipse in standard form if :the length of major axis 10 and the distance between foci is 8.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 4 and distance between directrices is 20.

Find the equation of the ellipse in standard form if the length of major axis 10 and the distance between foci is 8.

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

Find the equation of ellipse in standard form if,: Eccentricity is 3/8 and distance between its foci is 6