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

Glide to success with Doorsteptutor material for CBSE/Class-12 Business-Studies: fully solved questions with step-by-step explanation- practice your way to success.

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

Question 10:

The area enclosed by the circle is equal to

(A)

(B)

(C)

(D)

Answer:

Correct answer is (D)