In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 8 Applications of Integrals Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Applications of Integrals to know their preparation level.
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In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
Applications of Integrals Case Study Questions With answers
Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 8 Applications of Integrals
Case Study/Passage Based Questions
In a classroom, the teacher explains the properties of a particular curve by saying that this particular curve has beautiful ups and downs. It starts at 1 and heads down until p radian, and then heads up again and is closely related to sine function and both follow each other, exactly π/2 radians apart as shown in the figure.
Name the curve, which the teacher explained in the classroom.
(a) cosine (b) sine
(c) tangent (d) cotangent
Answer: (a) cosine
Area of curve explained in the passage from 0 to π/2 is
(a) 1/3 sq. unit (b) 1/2 sq. unit
(c) 1 sq. unit (d) 2 sq. units
Answer: (c) 1 sq. unit
The area of curve discussed in the classroom from π/2 to 3π/2 is
(a) –2 sq. units (b) 2 sq. units
(c) 3 sq. units (d) –3 sq. units
Answer: (b) 2 sq. units
The area of curve discussed in the classroom from 3π/2 to 2π is
(a) 1 sq. unit (b) 2 sq. units
(c) 3 sq. units (d) 4 sq. units
Answer: (a) 1 sq. unit
The area of the explained curve from 0 to 2π is
(a) 1 sq. unit (b) 2 sq. units
(c) 3 sq. units (d) 4 sq. units
Answer: (d) 4 sq. units
Case Study/Passage Based Questions
Location of three houses of a society is represented by the points A(–1, 0), B(1, 3) and C(3, 2) as shown in figure.
Equation of line AB is
Answer: (a)
Equation of line BC is
Answer: (c)
Area of region ABCD is
(a) 2 sq. units (b) 4 sq. units
(c) 6 sq. units (d) 8 sq. units
Answer: (d) 8 sq. units
The area of ▲ADC is
(a) 4 sq. units (b) 8 sq. units
(c) 16 sq. units (d) 32 sq. units
Answer: (a) 4 sq. units
Area of ▲ABC is
(a) 3 sq. units (b) 4 sq. units
(c) 5 sq. units (d) 6 sq. units
Answer: (b) 4 sq. units
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