Show that the SD of two variables is half of their optimum value.

The sides of a triangle are 4,5,6 cm. Show that its smallest angle is half of its greatest angle.

Let x and y be two variables and x gt 0, xy=1, then the minimum value of (x+y) is-

What is the algebraic sum of the deviations of the values of a variable from their average ? Explain with an example.

From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the circle x^2+y^2=b^2(a > b) . If the chord of contact touches a variable circle passing through origin, show that the locus of the center of the variable circle is always a parabola.

What is the optimum pH value of trypsin?

Let x and y be two variables and x gt 0 , xy=1 , then the minimum value of x+y is-

The first moment about the value 4 of a variable is 3, then its mean is

If all the values of a variable are equal to 7 then what is its variance.

Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.

Show that the straight line joining the mid - points of two sides of a triangle is equal to half the third side .