Read and download free pdf of CBSE Class 12 Mathematics Application Of Integrals Worksheet Set A. Download printable Mathematics Class 12 Worksheets in pdf format, CBSE Class 12 Mathematics Chapter 8 Application of Integrals Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 12 Assignments and practice them daily to get better marks in tests and exams for Class 12. Free chapter wise worksheets with answers have been designed by Class 12 teachers as per latest examination pattern
Chapter 8 Application of Integrals Mathematics Worksheet for Class 12
Class 12 Mathematics students should refer to the following printable worksheet in Pdf in Class 12. This test paper with questions and solutions for Class 12 Mathematics will be very useful for tests and exams and help you to score better marks
Class 12 Mathematics Chapter 8 Application of Integrals Worksheet Pdf
Question. The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is :
(a) 15/4
(b) 21/2
(c) 17/4
(d) 15/2
Answer : D
Question. The area (in sq. units) of the region {x ∈ R : x ≥ 0, y ≥ 0, y ≥ x – 2 and y ≤ √x}, is
(a) 13/3
(b) 10/3
(c) 5/3
(d) 8/3
Answer : B
Question. The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2, 5) and the coordinate axes is :
(a) 8/3
(b) 37/24
(c) 187/24
(d) 14/3
Answer : B
Question. The area of the region above the x-axis bounded by the curve y = tan x, 0 ≤ x ≤ π/2 and the tangent to the curve at x = π/4 is:
(a) 1/2 (log2 - 1/2)
(b) 1/2 (log2 + 1/2)
(c) 1/2 (1 - log2)
(d) 1/2 (1 + log2)
Answer : A
Question. The area (in sq. units) of the region {(x, y) : x ≥ 0, x + y ≤ 3, x2 ≤ 4y and y ≤ 1 + √x } is :
(a) 5/2
(b) 59/12
(c) 3/2
(d) 7/3
Answer : A
Question. If the area enclosed between the curves y = kx2 and x = ky2, (k > 0), is 1 square unit. Then k is:
(a) √3/2
(b) 1/√3
(c) √3
(d) 2/√3
Answer : B
Question. The area (in sq. units) bounded by the parabola y = x2 –1, the tangent at the point (2, 3) to it and the y-axis is:
(a) 8/3
(b) 32/3
(c) 56/3
(d) 14/3
Answer : A
Question. If the area of the region bounded by the curves, y = x2, y = 1/x and the lines y = 0 and x = t (t > 1) is 1 sq. unit, then t is equal to
(a) 4/3
(b) e2/3
(c) 3/2
(d) e3/2
Answer : B
Question. The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :
(a) 1/√3 + π/3
(b) 1/2√3 + 2π/3
(c) 1/2√3 + 2π/3
(d) 1/√3 +4π/3
Answer : D
Question. The area bounded by the curve y = ln (x) and the lines y = 0, y = ln (c) and x = 0 is equal to :
(a) 3
(b) 3 ln (c) – 2
(c) 3 ln (c) + 2
(d) 2
Answer : D
Question. The parabolas y2 = 4x and x2 = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S1 , S2 , S3 are respectively the areas of these parts/numbered from top to bottom; then S1 : S2 : S3 is
(a) 1 : 2 : 1
(b) 1 : 2 : 3
(c) 2 : 1 : 2
(d) 1 : 1 : 1
Answer : D
Question. The area (in sq. units) of the region {(x, y) : y2 ≥ 2x and x2 + y2 ≤ 4x, x ≥ 0, y ≥ 0} is :
(a) π - 4√2/3
(b) π/2 - 2√2/3
(c)π - 4/3
(d) π - 8/3
Answer : D
Question. The area (in sq. units) of the region described by A = {(x, y)| y ≥ x2 – 5x + 4, x + y ≥ 1, y ≤ 0} is:
(a) 19/6
(b) 17/6
(c) 7/2
(d) 13/6
Answer : A
Question. The area (in sq. units) of the region described by {(x, y) : y2 ≤ 2x and y ≥ 4x – 1} is
(a) 15/64
(b) 9/32
(c) 7/32
(d) 5/64
Answer : B
Question. The area of the region bounded by the curves y = |x -1| and y = 3- |x| is
(a) 6 sq. units
(b) 2 sq. units
(c) 3 sq. units
(d) 4 sq. units.
Answer : D
Question. The parabola y2 = x divides the circle x2 + y2 = 2 into two parts whose areas are in the ratio
(a) 9π + 2 : 3π – 2
(b) 9π – 2 : 3π + 2
(c) 7π – 2 : 2π – 3
(d) 7π + 2 : 3π + 2
Answer : B
Question. The area (in square units) of the region bounded by the curves y + 2x2 = 0 and y + 3x2 = 1, is equal to :
(a) 3/5
(b) 1/3
(c) 4/3
(d) 3/4
Answer : C
Question. Let A = {(x, y): y2 ≤ 4x, y – 2x ≥ – 4}. The area (in square units) of the region A is:
(a) 8
(b) 9
(c) 10
(d) 11
Answer : B
Question. The area bounded by the parabola y2 = 4x and the line 2x – 3y + 4 = 0, in square unit, is
(a) 2/5
(b) 1/3
(c) 1
(d) 1/2
Answer : B
Question. The area under the curve y = | cos x – sin x |, 0 , ≤ X ≤ and above x-axis is :
(a) 2√2
(b) 2√2 - 2
(c) 2√2 + 2
(d) 0
Answer : B
| CBSE Class 12 Mathematics Integrals Worksheet Set A |
| CBSE Class 12 Mathematics Integration Worksheet |
CBSE Class 12 Mathematics Chapter 8 Application of Integrals Worksheet
The above practice worksheet for Chapter 8 Application of Integrals has been designed as per the current syllabus for Class 12 Mathematics released by CBSE. Students studying in Class 12 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 12 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 12 Mathematics students to get all the latest study material free of cost.
Worksheet for Mathematics CBSE Class 12 Chapter 8 Application of Integrals
Teachers of studiestoday have referred to the NCERT book for Class 12 Mathematics to develop the Mathematics Class 12 worksheet. If you download the practice worksheet for the above chapter daily, you will get better scores in Class 12 exams this year as you will have stronger concepts. Daily questions practice of Mathematics printable worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision Worksheets for Class 12 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 12 Mathematics designed by our teachers
Chapter 8 Application of Integrals worksheet Mathematics CBSE Class 12
All practice paper sheet given above for Class 12 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 12 can be assured that the answers have been also provided by our teachers for all test paper of Mathematics so that you are able to solve the problems and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 12 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 12 Mathematics students have been given on studiestoday.
Chapter 8 Application of Integrals CBSE Class 12 Mathematics Worksheet
Regular printable worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 8 Application of Integrals concepts. Practice worksheets play an important role in developing an understanding of Chapter 8 Application of Integrals in CBSE Class 12. Students can download and save or print all the printable worksheets, assignments, and practice sheets of the above chapter in Class 12 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 12 Mathematics MCQ Test for the same chapter.
Worksheet for CBSE Mathematics Class 12 Chapter 8 Application of Integrals
CBSE Class 12 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 8 Application of Integrals and then take out a print of the above practice sheet and attempt all problems. We have also provided a lot of other Worksheets for Class 12 Mathematics which you can use to further make yourself better in Mathematics
You can download the CBSE Practice worksheets for Class 12 Mathematics Chapter 8 Application of Integrals for the latest session from StudiesToday.com
Yes, you can click on the links above and download chapter-wise Practice worksheets in PDFs for Class 12 for Mathematics Chapter 8 Application of Integrals
Yes, the Practice worksheets issued for Chapter 8 Application of Integrals Class 12 Mathematics have been made available here for the latest academic session
You can easily access the links above and download the Class 12 Practice worksheets Mathematics for Chapter 8 Application of Integrals
There is no charge for the Practice worksheets for Class 12 CBSE Mathematics Chapter 8 Application of Integrals you can download everything free
Regular revision of practice worksheets given on studiestoday for Class 12 subject Mathematics Chapter 8 Application of Integrals can help you to score better marks in exams
Yes, studiestoday.com provides all the latest Class 12 Mathematics Chapter 8 Application of Integrals test practice sheets with answers based on the latest books for the current academic session
Yes, studiestoday provides worksheets in Pdf for Chapter 8 Application of Integrals Class 12 Mathematics in mobile-friendly format and can be accessed on smartphones and tablets.
Yes, practice worksheets for Class 12 Mathematics Chapter 8 Application of Integrals are available in multiple languages, including English, Hindi