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

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

If a positive real number x satisfy the condition x^(5)-x^(3)+ x=1 then the minimum value of x^(6) is equal to

If a-1,a_2, ,a_n are positive real numbers whose product is a fixed number c , then the minimum value of a1 + d2 +..... + an-1 + 2an is

If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equal to 0 (b) 1 (c) 2 (d) 3

Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^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 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 a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-48=0, then the minimum value of (1//l)+(2//m)+(3//n) equals (a) 1 (b) 2 (c) 3//2 (d) 5//2

If he expression [m x-1+(1//x)] is non-negative for all positive real x , then the minimum value of m must be -1//2 b. 0 c. 1//4 d. 1//2