If A.M of the roots of `x^2 - 2ax+ b^2= 0` is equal to the .........of the roots of the equation `x^2-2bx+a^2=0`

Show that A.M. of the roots of x^(2) - 2ax + b^(2) = 0 is equal to the G.M. of the roots of the equation x^(2) - 2b x + a^(2) = 0 and vice- versa.

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

If the ratio of the roots of the equation ax^(2)+bx+c=0 is equal to ratio of roots of the equation x^(2)+x+1=0 then a,b,c are in

If the ratio of the roots of the equation ax^2+bx+c=0 is equal to ratio of roots of the equation x^2+x+1=0 then a,b,c are in

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

If the roots of the equaton 2x^(2)-3x+5=0 are reciprocals of the roots of the equation ax^(2)+bx+2=0 then :

If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geometric mean of the roots of x^(2)-2bx+a^(2)=0 is G, then