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 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 a x^2+b x+c=0 is equl to the sum of the squares of their reciprocals, then prove that a/c , b/a a n d c/b are in H.P.

If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equl to the sum of the squares of their reciprocals, then prove that a/c , b/a a n d c/b are in H.P.

If the sum of the roots of x^(2) + bx + 1 = 0 , is equal to the sum of their squares, then b =

The sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their recipocals, prove that (c)/(a),(a)/(b),(b)/(c) are in A.P.

If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the squares of their reciprocals then show that 2a^(2)c=ab^(2)+bc^(2) .

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the sum of the rotsof the equation px^2+qx+r=0 be equal to the sum of their squares, show that 2pr=pq+q^2

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then