If `x=1+1/(3+1/(2+1/(3+1/(2))))`

a `52/2`

b. `55/71`

c. `60/52`

d. `71/55`

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a. 3 b. 6/5 c. 3/2 d. none of these

If S is the set of all real x such that (2x-1)/(2x^3+3x^2+x) is positive (-oo,-3/2) b. (-3/2,1/4) c. (-1/4,1/2) d. (1/2,3) e. None of these

Number of integers in the range of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1)/(x^2+2x+5) is 0 b. 3 c. 2 d. 1

The value of int_0^1(x^4(1-x)^4)/(1+x^2)dx is/are (a) (22)/7-pi (b) 2/(105) (c) 0 (d) (71)/(15)-(3pi)/2

Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a n d O-=(0,0,0)dot The new position of O , when triangle is rotated about side A B by 90^0 can be a. (4/5,3/5,2/(sqrt(5))) b. ((-3)/5,(sqrt(2))/5,2/(sqrt(5))) c. (4/5,2/5,2/(sqrt(5))) d. (4/5,2/5,1/(sqrt(5)))

Greatest value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) 2 (c) 3 (d) 1/3

The value of lim_(x->pi)(1+cos^3x)/(sin^2x) is (a) 1/3 (b) 2/3 (c) -1/4 (d) 3/2

If AxxB = {(1,2),(3,4),(5,2),(1,4),(3,2),(5,4)} , find BxxA .

If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0 are in the ratio a. 1/2(-1+isqrt(3)) b. 1/2(1-isqrt(3)) c 1/2(-1-isqrt(3)) d. 1/2(1+isqrt(3))

The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fractional part in [-1,1] is (a) [-1,1]-(1/(2),1) (b) [-1,-1/2]uu[(0,(1/2)]uu{1} (c) [-1,1/2] (d) [-1/2,1]