Application of Integrals Test-4 Class 12 Notes | EduRev

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

 Page 1


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
+ = 
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Related Searches

ppt

,

mock tests for examination

,

Extra Questions

,

Previous Year Questions with Solutions

,

Application of Integrals Test-4 Class 12 Notes | EduRev

,

video lectures

,

Semester Notes

,

Exam

,

Viva Questions

,

practice quizzes

,

Application of Integrals Test-4 Class 12 Notes | EduRev

,

pdf

,

Sample Paper

,

Free

,

study material

,

Summary

,

Application of Integrals Test-4 Class 12 Notes | EduRev

,

past year papers

,

shortcuts and tricks

,

Objective type Questions

,

Important questions

,

MCQs

;