Page 1 CBSE TEST PAPER-03 CLASS - XII MATHEMATICS (Calculus : Application of Integrals) Topic: - Application of Integrals Note : Each Question carries 6 marks. 1. Find the area bounded by the curves (x – 1) 2 + y 2 = 1 and x 2 + y 2 = 1. 2. Find the area of the region bounded by the parabolas y 2 = 4ax and x 2 = 4ay, a > 0. 3. Find the area of the region bounded by the curves y = x 2 + 2, y = x, x = 0 and x = 3. 4. Find the area of the region ( ) { } 2 , : . x y x y x = = 5. Find the area bounded by the curves ( ) { } 2 2 2 , : 2 , , 0, 0, 0 . x y x y ax y ax a x y + = > > > > 6. Using integration, find the area of region bounded by the triangle whose vertices are (-1, 0), (1, 3) and (3, 2). 7. Find the area of the region: ( ) { } 2 2 , : 1 . x y x y x y + = = + 8. Draw a rough sketch of the region ( ) { } 2 2 2 , : 3 ,3 3 16 x y y x x y = + = and find the area enclosed by the region using method of integration. 9. Using integration find the area of the triangular region whose side have the equations y = 2x + 1, y = 3x + 1, and x = 4. 10. Calculate the area of the region enclosed between eh circles: x 2 + y 2 = 16 and (x + 4) 2 + y 2 = 16.Read More

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