If a,b,c,d are four positive real numbers such that abcd =1 then find the least value of (a+4) ( b+4) ( c+4) (d+4) .

If three positive real numbers a, b, c are in A.P. such that abc = 4, then the minimum value of b is

Let a, a + r and a + 2r be positive real number such that their product is 64. Then the minimum value of a + 2r is equal to a)4 b)3 c)2 d) 1//2

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

Let z=(11-3i)/(1+i) . If alpha is a real number such that z-ialpha is real, then the value of alpha is a)4 b)-4 c)7 d)-7

Let a and b be two positive real numbers. Then the value of int_(a)^(b)(e^(x//a)-e^(b//x))/(x)dx is a)0 b)ab c)1/ab d)e^ab

If A is a square matrix of order n such that ladj (AdjA)| = |A|^(9) . Then the value of n can be a)4 b)2 c)Either 4 or 2 d)None of these

If the point (a,b) on the curve y= sqrt(x) is close to the point (1,0) , then the value of ab is a) 1/2 b) (sqrt2)/(2) c) 1/4 d) (sqrt2)/(4)