# NCERT Class 12-Mathematics: Chapter –8 Application of Integrals Part 3

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**Question 8:**

Find the area of the region above the *x*-axis, included between the parabola and the circle .

**Answer:**

Solving the given equations of curves, we have

or , which give

From Fig. 8.8

Let . Then and

Further more

Thus the required

**Question 9:**

Find the area of a minor segment of the circle cut off by the line

**Answer:**

Solving the equation and we obtain their points of intersection which are

Hence, from Fig. 8.9, we get

Required

## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Each of the Examples 10 to 12

**Question 10:**

The area enclosed by the circle is equal to

(A)

(B)

(C)

(D)

**Answer:**

Correct answer is (D)