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 .

Rregion Above the X-Axis, Included between the Parabola
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

Find the Area of a Minor Segment of the Circle
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)