The area `{(x,y) : |x| ge y ge x^2}` is equal to (A) `1/12` (B) `1/6` (C) `1/3` (D) none of these

plot x ge 3, y ge 2

The area enclosed by the curve y=x^5 , the x-axis and the ordinates x=-1,x=1 is (A) 0 (B) 1/6 (C) 1/3 (D) none of these

Area of the region bounded by the curve y={(x^2, x lt 0),(x, x ge 0):} and the line y=4 is (A) 10/3 (B) 20/3 (C) 50/3 (D) none of these

Area common to the curves y=sqrt(x) and x=sqrt(y) is (A) 1 (B) 2/3 (C) 1/3 (D) none of these

The area bounded by the curve y^2=2x+1 and the line x-y=1 is (A) 2/3 (B) 8/3 (C) 16/3 (D) none of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to (a)0 (b) 1/(14) (c) -1/4 (d) None of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to 0 (b) -1/(14) (c) -1/4 (d) None of these

The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. none of these

The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. none of these

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these