If the sum of the roots of the equation `ax^2 +bx +c=0` is equal to sum of the squares of their reciprocals, then `bc^2,ca^2 ,ab^2` are in

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

If the sum of the roots of the equation ax^(2) + bx+ c = 0 is equal to the sum of their squares then

If the sum of the roots of the equation ax^2+bx +c = 0 is equal to the sum of the squares of their reciprocals, then show that bc^2, ca^2, ab^2 are in A.P.

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

If the sum of the roots of the equation ax^2+bx+c=0 is equal to the sum of the reciprocal of their squares, then bc^2, ca^2 and ab^2 are in