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 .

Fig. 8.8-Find the area of the region above the x-axis, inclu …

Rregion Above the X-Axis, Included between the Parabola

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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

Fig. 8.9.-Find the area of a minor segment of the circle

Find the Area of a Minor Segment of the Circle

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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)