Maximum value of `|z+1+i|,` where `z in S` is
(a)`sqrt(2)`
(b) 2
(c) `2sqrt(2)`
(d) `3sqrt(2)`

The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x ,y ,z is (a) sqrt(2) (b) 2sqrt(2) (c) 4sqrt(2) (d) 8sqrt(2)

The value of sqrt(3-2\ sqrt(2)) is (a) sqrt(2)-1 (b) sqrt(2)+1 (c) sqrt(3)-sqrt(2) (d) sqrt(3)+\ sqrt(2)

If |z-4/z|=2 , then the maximum value of |Z| is equal to (1) sqrt(3)+""1 (2) sqrt(5)+""1 (3) 2 (4) 2""+sqrt(2)

2. "(sqrt(8))^((1)/(3))="? (a) "2," (b) "4" (c) "sqrt(2)," (d) "2sqrt(2)"

If z is a complex number having least absolute value and |z-2+2i|=1 ,then z= (2-1//sqrt(2))(1-i) b. (2-1//sqrt(2))(1+i) c. (2+1//sqrt(2))(1-i)"" d. (2+1//sqrt(2))(1+i)

If |z-4/2z|=2 then the least of |z| is (A) sqrt(5)-1 (B) sqrt(5)-2 (C) sqrt(5) (D) 2

The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

If |z^2-3|=3|z| , then the maximum value of |z| is a. 1 b. (3+sqrt(21))/2 c. (sqrt(21)-3)/2 d. none of these

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x?| -1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) -1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)