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Grade 10Algebra

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.

Profile image of AKANKSHA
8 Years agoGrade 10
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3 Answers

Profile image of Deepak Kumar Shringi
8 Years ago
562-467_Capture.PNG
Profile image of Deepak Kumar Shringi
8 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
Profile image of Sara
5 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)