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# Application of Integrals Test-4 Class 12 Notes | EduRev

## Class 12 : Application of Integrals Test-4 Class 12 Notes | EduRev

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CBSE TEST PAPER-04
CLASS - XII MATHEMATICS (Calculus : Application of Integrals)
Topic: - Application of Integrals
Note : Each Question carries 6 marks.
1. Using integration, find the area of the region given below:
( ) { }
2
, : 0 1,0 1,0 2 x y y x y x x = = + = = + = = .
2. Compute the area bounded by the lines x + 2y = 2, y – x = 1 and 2x + y = 7.
3. Find Smaller area enclosed by the circle x
2
+ y
2
= 4 and the lines x + y = 2.
4. Find the area between the curves y = x and y = x
2
.
5. Sketch the graph of y = |x + 3| and evaluate
0
6
3 . x dx
- +
?

6. Find the area bounded by the curve y = sinx between x = 0 and x = 2p
7. Find the area enclosed by the parabola  y
2
= 4ax and the line y = mx.
8. Find the area of the region ( ) { }
2
, : 0 ( 1),0 ( 1),0 2 . x y y x y x x = = + = = + = =
9. Find the area enclosed by the parabola 4y = 3x
2
and the line 2y = 3x + 12.
10. Find the area of the smaller region bounded by the ellipse
2 2
1
9 4
x y
+ = and the line
1.
3 2
x y
+ =
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