Test: Application of Integrals- Assertion & Reason Type Questions - JEE MCQ

# Test: Application of Integrals- Assertion & Reason Type Questions - JEE MCQ

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## 6 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Application of Integrals- Assertion & Reason Type Questions

Test: Application of Integrals- Assertion & Reason Type Questions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Application of Integrals- Assertion & Reason Type Questions questions and answers have been prepared according to the JEE exam syllabus.The Test: Application of Integrals- Assertion & Reason Type Questions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Application of Integrals- Assertion & Reason Type Questions below.
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Test: Application of Integrals- Assertion & Reason Type Questions - Question 1

### Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice asAssertion (A): If the two curves y = f(x) and y = g(x) intersect at x = a, x = c and x = b, such that a < c="" />< />If f(x) > g(x) in [a, c] and g(x) £ f(x) in [c, b], then Area of the regions bounded by the curve= Area of region PACQP + Area of region QDRBQ.Reason (R): Let the two curves by y = f(x) and y = g(x), as shown in the figure. Suppose these curves intersect at f(x) with width dx.= Area bounded by the curve {y = f(x)}–Area bounded by the curve {y = g(x)}, where f(x) > g(x).

Detailed Solution for Test: Application of Integrals- Assertion & Reason Type Questions - Question 1
Assertion (A) and Reason (R) both are individually correct.
Test: Application of Integrals- Assertion & Reason Type Questions - Question 2

### Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice asAssertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2.Reason (R): The area enclosed by the circle

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Test: Application of Integrals- Assertion & Reason Type Questions - Question 3

### Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Assertion (A): The area enclosed by the circle x2 + y2 = a2 is πa2. Reason (R): If the curve under consideration lies below x-axis, then f(x) < 0 from x = a to x = b, the area bounded by the curve y = f(x) and the ordinates x = a, x = b and x-axis is negative. But, if the numerical value of the area is to be taken into consideration, then

Test: Application of Integrals- Assertion & Reason Type Questions - Question 4

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The area of the region bounded by the curve y = x2 and the line y = 4 is 3/32.

Reason (R):

Since the given curve represented by the equation y = x2 is a parabola symmetrical about y-axis only, therefore, from figure, the required area of the region AOBA is given by

Test: Application of Integrals- Assertion & Reason Type Questions - Question 5

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A):

Reason (R): It may happen that some portion of the curve is above x-axis and some portion is below x-axis as shown in the figure. Let A1 be the area below the x-axis and A2 be the area above the x-axis. Therefore, area bounded by the curve y = f(x), x-axis and the ordinates x = a and x = b is given by Area = |A1| + |A2|

Test: Application of Integrals- Assertion & Reason Type Questions - Question 6

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The area of region PQML

Reason (R): The area A of the region bounded by curve x = g(y), y-axis and the lines y = c and y = d is given by

Detailed Solution for Test: Application of Integrals- Assertion & Reason Type Questions - Question 6
Assertion (A) and Reason (R) both are individually correct.

## Mathematics (Maths) Class 12

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## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests