Class 12 Maths Chapter 8 Application Of Integrals Solved Question and Answers

Questions

1 Area of the ellipse

A 4πab sq.units

B 2πab sq.units

C πab sq.units

D πab/2 sq.units

View Answer

Answer:πab sq.units

2 The area bounded by the curve 2x² + y² = 2 is

A π sq. units

B √2π sq. units

C π/2 sq. units

D 2π sq. units

View Answer

Answer:√2π sq. units

Article and Schedule Quiz	Start Test!

DOWNLOAD CURRENT AFFAIRS PDF FROM APP

3 The area of the ellipse Class 12 Maths Chapter 8 Application of Integrals

A 6π sq. units

B π(a²+b²)/4 sq. units

C p(a + b) sq. units

D none of these

View Answer

Answer:none of these

4 If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is

A 9/2 sq. units

B 8 sq. units

C 12 sq. units

D 4 sq. units

View Answer

Answer:12 sq. units

5 Area of the region between the curves x² + y² = π², y = sin x and y-axis in first quadrant is

sq. units

View Answer

Answer:sq. units

6 The area included between the curves x² = 4by and y² = 4ax

A 16ab sq. units

B 16ab/3 sq. units

C 4ab sq. units

D 16πab sq. units

View Answer

Answer:16ab/3 sq. units

7 Find the area enclosed by the parabola 4y = 3x² and the line 2y = 3x + 12.

A 27 sq. units

B 28 sq. units

C 54 sq. units

D 30 sq. units

View Answer

Answer:27 sq. units

8 The area lying above x-axis and included between the circle x2 + y2 = 8x and inside of parabola y2 = 4x is

A 1/3 (2 + 3π) sq. units

B 2/3 (4 + 3π) sq. units

C (6 + 3π) sq. units

D 4/3 (8 + 3π) sq. units

View Answer

Answer:4/3 (8 + 3π) sq. units

9 The area of smaller portion bounded by |y| = -x + 1 and y² = 4x is

A 1 sq. units

B 2 sq. units

C 3 sq. units

D none of these

View Answer

Answer:none of these

10 The area bounded by the line y = 2x – 2, y = -x and x-axis is given by

A 9/2 sq. units

B 43/6 sq. units

C 35/6 sq. units

D None of these

View Answer

Answer:None of these

11 The area bounded by the lines y = |x – 1| and y = 3 – |x| is

A 2 sq. units

B 3 sq. units

C 4 sq. units

D 6 sq. units

View Answer

Answer:4 sq. units

12 Area bounded by the lines y = |x| and y = 1 – |x – 1| is equal to

A 4 sq. units

B 6 sq. units

C 2 sq. units

D 8 sq. units

View Answer

Answer:4 sq. units

13 The ratio in which the x-axis divides the area of the region bounded by the curves y = x² – 4x and y = 2x – x²

A 4 : 23

B 4 : 27

C 4 : 19

D none of these

View Answer

Answer:4 : 23

14 The area enclosed by the curve y = √x and x = -√y , the circle x² + y² = 2 above the x-axis is

A π/4 sq. units

B 3π/2 sq. units

C π sq. units

D π/2 sq. units

View Answer

Answer:π/2 sq. units

15 The area enclosed between the graph of y = x³ and the lines x = 0, y = 1, y = 8 is

A 45/4

B 14

C 7

D none of these

View Answer

Answer:45/4

16 The area bounded by the curve x² = 4y = 4y + 4 and line 3x + 4y = 0 is

A 0 sq. units

B 125/8 sq. units

C 125/16 sq. units

D 125/24 sq. units

View Answer

Answer:125/24 sq. units

17 The area bounded by y=

A 4/3 sq. units

B 13/2 sq. units

C 12/5 sq. units

D 42/5 sq. units

View Answer

Answer:4/3 sq. units

18 The area bounded by the curves x + 2y² = 0 and x + 3y² = 1 is

A 1 sq. units

B 1/3 sq. units

C 2/3 sq. units

D 4/3 sq. units

View Answer

Answer:4/3 sq. units

19 The area bounded by the lines y = 4x + 5, y = 5 – x and 4y = x + 5 is

A 15/2 sq. units

B 92 sq. units

C 13/2 sq. units

D None of these

View Answer

Answer:15/2 sq. units

20 The area enclosed by the parabola y² = 2x and tangents through the point (-2, 0) is

A 3 sq. units

B 4 sq. units

C 4/3 sq. units

D 8/3 sq. units

View Answer

Answer:8/3 sq. units

ADRE 2.0 FULL LENGTH MOCK TEST

Take Mock Tests

Missiles Mock Test	Start Test!
SSC MTS Mock Test	Start Test
IBPS CLERK MOCK TEST	Start Test
SSC MTS 2022 JULY 26 Shift 1 (ENGLISH)	Start Test!
SSC GD Previous Year Paper 2021 Nov 17 Shift - I (Hindi)	Start Test!
SSC CGL Tier - 1 PYP 2022 April 21 Shift- 1 (ENGLISH)	Start Test!
MPSC PAPER I MOCK TEST 1 (ENGLISH)	Start Test!
IB Security Assistant Mock test 1 (english)	Start Test!
UP POLICE CONSTABLE MOCK TEST 1	Start Test!
DELHI POLICE CONSTABLE MOCK TEST 1 (HINDI)	Start Test!