The real number `x` when added to its inverse given the minimum value of the sum at `x` equal to (a) 1 (b) `-1` (c) `-2` (d) 2

The minimum value of x\ (log)_e x is equal to e (b) 1//e (c) -1//e (d) 2e (e) e

The minimum value of e^((2x^2-2x+1)sin^(2)x) is a. e (b) 1/e (c) 1 (d) 0

The sum of two non-zero numbers is 8, the minimum value of the sum of their reciprocals is 1/4 (b) 1/2 (c) 1/8 (d) none of these

Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

The function f(x)=sum_(k=1)^5 (x-K)^2 assumes then minimum value of x given by (a) 5 (b) 5/2 (c) 3 (d) 2

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) (c) 1/(2|d|)sqrt(d^2-a^2) (d) none of these

The minimum value of 2^((x^2-3)^3+27) is (a) 2^(27) (b) 2 (c) 1 (d) none of these

The value of lambda for which the sum of squares of roots of the equation x^2+(3-lambda)x+2=lambda is minimum, then lambda is equal to (a) 2 (b) -1 (c) -3 (d) -2

The function f(x)=sum_(r=1)^5(x-r)^2 assuming minimum value at x= (a) 5 (b) 5/2 (c) 3 (d) 2

The function f(x)=sum_(r=1)^5(x-r)^2 assuming minimum value at x= (a) 5 (b) 5/2 (c) 3 (d) 2