# Find the eq

Given that we need to find the equation of the ellipse whose distance between the foci is 8 units and distance between the directrices is 18 units.

We know that the distance between the foci is 2ae.

2ae = 8

ae = 4 ..... - (1)

We know that the distance between the directrices is .

..... - (2)

(1)×(2)

a2 = 36 .... (3)

a = 6

We know that eccentricity of an ellipse is

36 - b2 = 16

b2 = 20 ..... (4)

The equation of the ellipse is,

5x2 + 9y2 = 180

The equation of the ellipse is 5x2 + 9y2 = 180.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Find the ceRD Sharma - Mathematics

Find the ceRD Sharma - Mathematics

Given the ellipseMathematics - Exemplar

For the ellRD Sharma - Mathematics

For the ellRD Sharma - Mathematics

If the minoRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

If S and S’RD Sharma - Mathematics

The equation of tMathematics - Exemplar

Write the cRD Sharma - Mathematics