ISC (Commerce) Class 12CISCE
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# Find the Equation of an Ellipse Whose Latus Rectum is 8 and Eccentricity is 1/3 - ISC (Commerce) Class 12 - Mathematics

ConceptArea Under Simple Curves

#### Question

Find the equation of an ellipse whose latus rectum is 8 and eccentricity is 1/3

#### Solution

(2b^2)/a = 8

b^2 = 4a

e = 1/3

b^2 = a^2(1-e^2)

:. 4a = a^2 (1-(1/3)^2)

4a = a^2 (8/9)

9/2 = a

a^2 = 81/4

b^2 = 4a =  4 xx 1/2 = 18

Equation of ellipse

x^2/a^2 + y^2/b^2  = 1

(4x^2)/81 + y^2/18 = 1

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (March) (with solutions)
Question 1.2 | 3.00 marks
Solution Find the Equation of an Ellipse Whose Latus Rectum is 8 and Eccentricity is 1/3 Concept: Area Under Simple Curves.
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