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KVPY2010MathematicsArea Under Curves

Consider the regions A = ( x , y ) x ²+ y ² 100 and = ( x , y ) ( x + y )>0 in the plane. Then the area of the region A B is-

Options

  1. A10
  2. B100
  3. C100
  4. D50

Correct answer

D. 50

Step-by-step solution

x ²+ y ² 100 inside of a circle array l (x+y)>0 x+y (0, ) (2 , 3 ) x+y=c equation of a line array required area = shaded region = 1 2 (10)²=50

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