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^(2)<=y<=sqrt(x)} is equal to (1)/(3) b.(2)/(3) c.(1)/(6) d.none of these

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

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))tan y=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

lim_(x rarr2)(((x^(3)-4x)/(x^(3)-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1)) is equal t(1)/(2)(b)2(c)1(d) none of these

The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^(2),z=0 if c is equal to a.1 b.+-1/3c.+-sqrt(5)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

Area common to the curves y=x^3 and y=sqrt(x) is (A) 5/12 (B) 5/4 (C) 5/2 (D) none of these

The degree of the differential equation satisfying sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) is (a) 1(b)2(c)3 (d) none of these