﻿ IIT - JEE Main Important Questions of Application of Integrals | Zigya

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# Application of Integrals

#### Multiple Choice Questions

1.

Area included between curves y = x2 - 3x + 2 and y = - x2 + 3x - 2 is

• $\frac{1}{2}$ sq unit

• 1 sq unit

• $\frac{1}{3}$ sq unit

D.

$\frac{1}{3}$ sq unit

Required area 2. • • • • A.  137 Views

3. • e

• e+1

• e-1
• 1-e

C.

e-1 134 Views

4.

Area bounded by the curve y2 = 16x and line y = mx is $\frac{2}{3}$, then m is equal to

• 3

• 4

• 1

• 2

B.

4

Required area 5.

The solution for x of the equation • 2

• π

• • B.

π 121 Views

6.

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

• 1 : 2 : 1

• 1 : 2 : 3

• 2 : 1 : 2

• 1 : 1 : 1

D.

1 : 1 : 1

y2 = 4x and x2 = 4y are symmetric about line y = x 243 Views

7.

The area of the region bounded by the straight lines x = 0 and x = 2x and the curves y = 2 and y = 2x - x2 is equal to

B.

Required area

8.

The area enclosed between the curves y2 = x and y = |x| is

• 2/3

• 1/3

• 1/6

• 3

C.

1/6  127 Views

9.

The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x-axis is

• 1

• 2

• 3

• 4

A.

1 124 Views

10.

The area enclosed between the curve y = loge (x + e) and the coordinate axes is

• 1

• 2

• 3

• 4

A.

1 258 Views