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Manipal MET2015MathematicsSets and Relations

If A= (x, y): x^2+y^2=25 and B= (x, y): x^2+9y^2=144 ; then A B contains

Options

  1. Aone point
  2. Bthree points
  3. Ctwo points
  4. Dfour points

Correct answer

D. four points

Step-by-step solution

Clearly, A is the set of all points on the circle x^2+y^2=25 and B is the set of all points on the ellipse x^2+9 y^2=144 . These two intersect at four points P, Q, R and S . Hence, A B contains four points.

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