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Applications of Integrals Class 12 Multiple Choice Test

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Applications of Integrals Class 12 (120801)


General Instruction:

1. There are 10 MCQ’s in the Test.

2. Passing %age is 50.

3. After time gets over, test will be submitted itself.

1 / 10

Which method is used to find the area under a curve that is a straight line?

a) Integration

b) Differentiation

c) Substitution

d) Approximation

2 / 10

The area between the curve \(y = 2x^3\) and the x-axis from \(x = -1\) to \(x = 1\) is:

a) 1 square unit

b) 2 square units

c) 3 square units

d) 4 square units

3 / 10

The area enclosed by the parabola \(y^2 = 4x\) and the x-axis from x = 0 to x = 4 is:

a) 4 square units

b) 8 square units

c) 12 square units

d) 16 square units

4 / 10

The area bounded by the parabola \(y = x^2\) and the x-axis between x = 0 and x = 4 is:

a) 8 square units

b) 12 square units

c) 16 square units

d) 20 square units

5 / 10

The area under the curve y = 2x + 3 from x = 0 to x = 5 is:

a) 12 square units

b) 15 square units

c) 18 square units

d) 25 square units

6 / 10

The area between the curve \(y = x^3\) and the x-axis from \(x = -2\) to \(x = 2\) is:

a) 4 square units

b) 8 square units

c) 16 square units

d) 32 square units

7 / 10

The area enclosed by the ellipse \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) is:

a) 6π square units

b) 9π square units

c) 12π square units

d) 16π square units

8 / 10

The area enclosed by a circle of radius 5 units is:

a) 25π square units

b) 50π square units

c) 100π square units

d) 125π square units

9 / 10

The area between the parabola \(y = x^2 – 4\) and the x-axis from \(x = -2\) to \(x = 2\) is:

a) 8 square units

b) 12 square units

c) 16 square units

d) 20 square units

10 / 10

The area under the curve \(y = \sqrt{25 – x^2}\) and above the x-axis from \(x = -5\) to \(x = 5\) is:

a) 25 square units

b) 50 square units

c) 75 square units

d) 100 square units

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