Asked by kumar

If A = {(x, y)/x^2 + y^2 = 25} and B{(x, y)/x^2 + 9y^2 = 144} then A ∩ B contains how many points.
Answered by oobleck
since y^2 = 25-x^2, we have
x^2 + 9(25-x^2) = 133
x^2 = 33/2
So, since both curves are symmetric about (0,0), A ∩ B has 4 points -- one in each quadrant.
Answered by kumar
thank u sir.
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