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CBSE - XI Science - Mathematics - Coordinate Geometry

KINDLY EXPLAIN STEP-BY-STEP:

Asked by 13th February 2009, 1:00 PM
Answered by Expert

Answer:

standrad eqn of ellipse is X2/a2 + Y2 / b2 = 1    compairing with above eqn. we get a = 3 and b = 2

as a>b so  ellipse has x axis as major axis  and  length of major axis is 2a = 6  and length of mionr axis is 2b = 4

eccentricity   as we know b2 =a2 (1-e2)   putting values of a and b we get e =  5 / 3

so focii are  (ae,0) and (-ae,0)  which is (5 , 0) and (-5 , 0)

length of latus rectum = 2a /e =  18 / 5

Answered by Expert 13th February 2009, 7:26 PM

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