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 |
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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
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Chapter 8 Application of Integrals worksheet Mathematics CBSE Class 12
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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
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