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 x(log)_(e)x is equal to e (b) 1/e(c)-1/e (d) 2e( e )e

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

Minimum value of f(x)=2x^(2)-4x+5 is 1 (b) -1(c)11 (d) 3

The sum of positive numbers is given, then the roduct of numbers is maximum when they are equal and when the product of positive number is given. then their sum is minimum when the numbers hay equal contributions For example 2a + 3b=5, a > 0, b > 0, then max(a^3b^2)=3/2 Let us consider a function f(x) = (3x-5)(5-2x),5/3<=x<=5/2 is The maximum value of f(x) = (3x-5)^2 (5-2x)^3 is

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| 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 e^((2x^(2)-2x+1)sin^(2)x) is e(b)(1)/(e)(c)1(d)0