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If A={X SQUARE +Y SQUARE=16} and B={9 X SQUARE+25 Y SQUARE=225}. Then A intersection B is equal to. 1)zero 2)2 3) 4 4) infinite. pls explain in easy way.

If A={X SQUARE +Y SQUARE=16} and B={9 X SQUARE+25 Y SQUARE=225}. Then A intersection B is equal to.
1)zero
2)2
3) 4
4) infinite.
pls explain in easy way.

Grade:10

3 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
562-467_Capture.PNG
Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
these two equations represet a circle and a ellipse and common region consist infinite points as show in fig (shaded region)

562-2015_Capture.PNG
Sara
13 Points
2 years ago
X²+y²=16
Put x=0y=4
X=4 y=0
X=-4andy=0
X=0and y =-4 
This satisfies second eq as well 
So answer is 4 (iii)

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