If `|z| le 4` then the maximum value of `|iz+3-4i|`
is equal to

If y = tan^(-1)(1/2)+tan^(-1)b , (0 lt blt 1) and 0 lt y le pi/4 , then the maximum value of b is a) 1//2 b) 1//3 c) 1//4 d) 2//3

If z=sqrt3+i , then the argument of z^2 e^(z-i) is equal to

If |z - (3)/(z)| = 2 , then the greatest value of |z| is a)1 b)2 c)3 d)4

If the vector 8i + aj of magnitude 10 is in the direction of the vector 4i + 3j, then the value of a is equal to a)6 b)3 c)-3 d)-6

If the two lines (x-1)/(2) = (1-y)/(-a) = (z)/(4) and (x-3)/(1) = (2y-3)/(4) = (z-2)/(2) are perpendicular, then the value of a is equal to

If ""^(n)P_(4) = 5("^(n)P_(3)) , then the value of n is equal to

If the matrix [(1,2,-1),(-3,4,k),(-4,2,6)] is singular, then the value of k is equal to

The value of int_(2)^(4)(x-2)(x-3)(x-4)dx is equal to