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Question

Area of the rectangle formed by the ends of latusrecta of the Ellipse 4x2+9y2 = 144 is


A

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B

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C

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D

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Solution

The correct option is B


4x2+9y2 = 14y, a=6

x236+y216 = 1, b=4

e = 11636 = 53

Length of the lactus rectum,SS1 = 2X166 = 163

Area = 45x163 = 6453


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