Application of Integrals Test-3 Class 12 Notes | EduRev

Class 12 : Application of Integrals Test-3 Class 12 Notes | EduRev

 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.
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