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Question

If A={(x,y):x2+y2=25} and B={(x,y):x2+9y2=144}; then AB contains
  1. one point
  2. three points
  3. two points
  4. four points

A
three points
B
one point
C
two points
D
four points
Solution
Verified by Toppr

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, AB contains four points.
705047_669566_ans_638c026a3ca04f3f8e77c44cede90a94.jpg

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