If A = [(x, y) : x2 + y2 = 25] and B = [(x, y) : x2 + 9y2 = 144], then A ∩ B contains _______ points.
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Answer:
Step-by-step explanation:
Given that,
and
Now,
Further,
So,
So, Let's evaluate the point of intersection of
and
On Subtracting equation (1) from (2), we get
On substituting the value of in equation (1), we get
Hence, point of intersection are
Hence,
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Answered by
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If A = [(x, y) : x2 + y2 = 25] and B = [(x, y) : x2 + 9y2 = 144], then A ∩ B contains _______ points.
Solutions with given :
Clearly, A is the set of all points on the circle x² +y² =25 and B is the set of all points on the ellipse x² +9y² =144. These two intersect at four points P,Q,R and S.
Hence, A∩B contains four points.
Answer:-
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