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Question

If A={(x,y):x2+y2=25} and B={(x,y):x2+9y2=144}, then AB contains

A
One point
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B
Three points
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C
Two points
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D
Four points
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Solution

The correct option is D Four points
A=Set of all points (x,y), which lie on the circle:x2+y2=25=52
B=Set of all points (x,y), which lie on the ellipse:x2122+y242=1

Clearly,AB consists of four points.
Note: Plot the figures in the Cartesian co-ordinate and visualize.

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