1. Find the area of the circle 4x 2 + 4y 2 = 9 which is interior to the parabola x 2 = 4y. 2. Find the area bounded by curves (x 1)2 + y 2 = 1 and x 2 + y 2 = 1. 3. Find the area of the region bounded by the curves y = x 2 + 2, y = x, x = 0 and x = 3. 4. Using integration find the area of region bounded by the triangle whose vertices are ( 1, 0), (1, 3) and (3, 2). 5. Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4 Choose the correct answer in the following exercises 6 and 7. 6. Smaller area enclosed by the circle x 2 + y 2 = 4 and the line x + y = 2 is (A) 2 ( 2) (B) 2 (C) 2 1 (D) 2 ( + 2) 7. Area lying between the curves y 2 = 4x and y = 2x is (A) 2 3 (B) 1 3 (C) 1 4 (D) 3 4
Question 1:Find the area of the circle 4x 2 + 4y 2 = 9 which is interior to the parabola x 2 = 4y.
Question 2:Find the area bounded by curves (x – 1)2 + y 2 = 1 and x 2 + y 2 = 1.
Question 3:Find the area of the region bounded by the curves y = x 2 + 2, y = x, x = 0 and x = 3.
Question 4:Using integration find the area of region bounded by the triangle whose vertices are (– 1, 0), (1, 3) and (3, 2).
Question 5:Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4 Choose the correct answer in the following exercises 6 and 7
Question 6:Smaller area enclosed by the circle x 2 + y 2 = 4 and the line x + y = 2 is (A) 2 ( – 2) (B) – 2 (C) 2 – 1 (D) 2 ( + 2)
Question 7:Area lying between the curves y 2 = 4x and y = 2x is (A) 2 3 (B) 1 3 (C) 1 4 (D) 3 4
