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

The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(2),z=0 then c is equal to a. +-1 b. +-1//3 c. +-sqrt(5) d. none of these

Find the area of the region {(x , y): x^2lt=ylt=|x|}dot

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 if c is equal to a. +-1 b. +-1/3 c. +-sqrt(5) d. none of these

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to (a) 4x (b) 2x (c) x (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

sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d) none of these

Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2)/1=(y-3)/1=(z-4)/1 is equal to a. sqrt(14) b. sqrt(7) c. sqrt(2) d. none of these