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: