# NCERT Class 12-Mathematics: Chapter – 8 Application of Integrals Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 11**:

The area enclosed by the ellipse is equal to

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (B)

**Question 12**:

The area of the region bounded by the curve and the line

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (B) ; since

## Fill in the Blanks in Each of the Examples 13 and 14

**Question 13**: The area of the region bounded by the curve axis and the line and is ________.

**Answer**:

**Question 14**:

The area of the region bounded by the curve axis and the line and is equal to ________.

**Answer**:

## 8.3 EXERCISES

### Short Answer (S. A.)

**Question 1**:

Find the area of the region bounded by the curves .

**Answer**:

**Question 2**:

Find the area of the region bounded by the parabola .

**Answer**:

**Question 3**:

Find the area of the region bounded by the curve and and .

**Answer**:

**Question 4**:

Find the area of the region bounded by the curve .

**Answer**:

**Question 5**:

Find the area of the region included between and

**Answer**:

**Question 6**:

Find the area of the region enclosed by the parabola and the line

**Answer**:

**Question 7**:

Find the area of region bounded by the line and the parabola

**Answer**:

**Question 8**:

Sketch the region and *x*-axis. Find the area of the region using integration.

**Answer**:

**Question 9**:

Calculate the area under the curve included between the lines and .

**Answer**: