NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

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Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Miscellaneous Exercises are provided in the article. Class 12 Chapter 8 Applications of Integrals Miscellaneous Exercises are important for both CBSE Term II exam and for competitive exams. Key topics covered in this chapter are Area Between Two Curves, lines, parabolas; area of circles/ellipses.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercises

Also check other Exercise Solutions of Class 12 Maths Chapter 8 Applications of Integrals

Also Read:

Chapter 8 Applications of Integrals Important Topics
Trapezoidal Rule Formula	Area Under Curve Formula	Trapezoidal Rule
Applications of Integrals Important Questions	SImpsons Rule Formula	Surface Integral

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CBSE CLASS XII Related Questions

1.
Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the $ x $-axis, and the ordinates $ x = -2 $ and $ x = 2 $.
View Solution
2.
For a function $f(x)$, which of the following holds true?
- $\int_a^b f(x) dx = \int_a^b f(a + b - x) dx$
- $\int_a^b f(x) dx = 0$, if $f$ is an even function
- $\int_a^b f(x) dx = 2 \int_0^a f(x) dx$, if $f$ is an odd function
- $\int_0^a f(x) dx = \int_0^a f(2a + x) dx$
View Solution
3.
The area of the shaded region (figure) represented by the curves $ y = x^2 $, $ 0 \leq x \leq 2 $, and the y-axis is given by:
- $ \int_0^2 x^2 \, dx $
- $ \int_0^2 \sqrt{y} \, dy $
- $ \int_0^4 x^2 \, dx $
- $ \int_0^4 \sqrt{y} \, dy $
View Solution
4.
If $ f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} $ is continuous at $ x = 0 $, then the value of 'a' is :
- 1
- -1
- 0
- $ \pm 1 $
View Solution
5.
Let $ \vec{a} $ be a position vector whose tip is the point (2, -3). If $ \overrightarrow{AB} = \vec{a} $, where coordinates of A are (–4, 5), then the coordinates of B are:
- (-2, -2)
- (2, -2)
- (-2, 2)
- (2, 2)
View Solution
6.
The given graph illustrates:
- $y = \tan^{-1} x$
- $y = \csc^{-1} x$
- $y = \cot^{-1} x$
- $y = \sec^{-1} x$
View Solution

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NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

CBSE CLASS XII Related Questions

1.
Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).

2.
For a function $f(x)$, which of the following holds true?

3.
The area of the shaded region (figure) represented by the curves \( y = x^2 \), \( 0 \leq x \leq 2 \), and the y-axis is given by:

4.
If \( f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} \) is continuous at \( x = 0 \), then the value of 'a' is :

5.
Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:

6.
The given graph illustrates:

Similar Mathematics Concepts

Comments

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NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

CBSE CLASS XII Related Questions

1.Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).

2.For a function $f(x)$, which of the following holds true?

3.The area of the shaded region (figure) represented by the curves \( y = x^2 \), \( 0 \leq x \leq 2 \), and the y-axis is given by:

4.If \( f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} \) is continuous at \( x = 0 \), then the value of 'a' is :

5.Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:

6.The given graph illustrates:

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).

2.
For a function $f(x)$, which of the following holds true?

3.
The area of the shaded region (figure) represented by the curves \( y = x^2 \), \( 0 \leq x \leq 2 \), and the y-axis is given by:

4.
If \( f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} \) is continuous at \( x = 0 \), then the value of 'a' is :

5.
Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:

6.
The given graph illustrates: