Question

Find the equation of ellipse, distance between focus is 8 units and distance between dretrix is 18 units and major axis is X - axis

Answer 1

Distance between two foci = ae – (- ae) = 2ae =8

Distance between two directrices =a/e – (-a/e) = 2a/e =18
2ae .2a/e = 8 x 18
4a2 = 144
a2 = 36
a = 6
2ae = 8
ae = 4
6.e = 4
e = 2/3
b2 = a2(1 - e2)
= 36 (1 - 4/9)
36(5/8)
= 20

Equation of the ellipse is :-

(x2/36) + (y2/20) = 1

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Answer 2

heya...

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