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# NCERT Solutions for Class 12 Maths Application of Integrals Miscellaneous Exercise

Hi Students, Welcome to **Amans Maths Blogs (AMB)**. In this post, you will get the * NCERT Solutions for Class 12 Maths Application of Integrals Miscellaneous Exercise*.

* CBSE Class 12^{th}* is an important school class in your life as you take some serious decision about your career. And out of all subjects, Maths is an important and core subjects. So

*is major role in your exam preparation as it has detailed chapter wise solutions for all exercise. This*

**CBSE NCERT Solutions for Class 12**^{th}Maths**can be downloaded in PDF file. The downloading link is given at last.**

*NCERT Solutions** NCERT Solutions for class 12* is highly recommended by the experienced teacher for students who are going to appear in

*and*

**CBSE Class 12***and*

**JEE Mains***and NEET level exams. Here You will get*

**Advanced***of all questions given in NCERT textbooks of class 12 in details with step by step process.*

**NCERT Solutions for Class 12 Maths Application of Integrals Miscellaneous Exercise*** NCERT Solutions for Class 12 Maths* are not only the solutions of Maths exercise but it builds your foundation of other important subjects. Getting knowledge of depth concept of

*like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.*

**CBSE Class 12**^{th}MathsAs we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the **CBSE NCERT Syllabus**. Thus, * NCERT Solutions* helps the students to solve the exercise questions as given in

*.*

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**NCERT solutions for class 12**.

## NCERT Solutions for Class 12 Maths Application of Integrals Miscellaneous Exercise

**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 1**

Find the area under the given curves and given lines:

(i) y = x^{2}, x = 1, x = 2 and x-axis

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(ii) y = x^{4}, x = 1, x = 5 and x-axis

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 2**

Find the area between the curves y = x and y = x^{2}.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 3**

Find the area of the region lying in the first quadrant and bounded by y = 4x^{2}, x = 0, y = 1 and y = 4.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 4**

Sketch the graph of y = x + 3 and evaluate .

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 5**

Find the area bounded by the curve y = sin x between x = 0 and x = 2π.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 6**

Find the area enclosed between the parabola y^{2} = 4ax and the line y = mx.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 7**

Find the area enclosed by the parabola 4y = 3x^{2} and the line 2y = 3x + 12.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 8**

Find the area of the smaller region bounded by the ellipse x^{2}/9 + y^{2}/4 = 1 and x/3 + y/2 = 1.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 9**

Find the area of the smaller region bounded by the ellipse x^{2}/a + y^{2}/b = 1 and x/a + y/b = 1.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 10**

Find the area of the region enclosed by the parabola x^{2} = y, the line y = x + 2 and the x-axis.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 11**

Using the method of integration find the area bounded by the curve |x| + |y| = 1 .

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 12**

Find the area bounded by curves {(x, y) : y ≥ x^{2} and y = | x |}.

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 13**

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 14**

Using the method of integration find the area of the region bounded by lines: 2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 15**

Find the area of the region {(x, y) : y^{2} ≤ 4x, 4x^{2} + 4y^{2} ≤ 9}.

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Choose the correct answer in the following Exercises from 16 to 20.

**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 16**

Area bounded by the curve y = x^{3}, the x-axis and the ordinates x = – 2 and x = 1 is

(A) – 9

(B) – 15/4

(C) 15/4

(D) 17/4

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 17**

The area bounded by the curve y = x | x | , x-axis and the ordinates x = – 1 and x = 1 is given by

(A) 0

(B) 1/3

(C) 2/3

(D) 4/3

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 18**

The area of the circle x^{2} + y^{2} = 16 exterior to the parabola y^{2} = 6x is

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**NCERT Solutions Class 12 Math Application of Integrals Miscellaneous ****Exercise**** Ques No 19**

The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤ π/2 is

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