​ (i) The area bounded by y = 2cosx , the x-axis from x = 0 to x = π/2 is (a) 0 (b) 1 (c) 2 (d) -1 ​

Question

(i) The area bounded by y = 2cosx , the x-axis from x = 0 to x = \(\frac{π}{2}\) is

(a) 0

(b) 1

(c) 2

(d) -1

(ii) Find the area of the region bounded by the y² = 4ax and x² = 4ay, a > 0

Answer 1

(i) (c) 2

(ii)

⇒ x(16a² - x³) =0

⇒ x = 0, 4a

When x = 4a, y = 4a and x = 0, y = 0.

Therefore the points is (0, 0) and (4a, 4a).