The coefficients a,b and c of the quadratic equation, ax2+bx+c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is:

The discriminant of the quadratic equation ax ^2+bx+c=0 is

The quadratic equation ax^(2)+bx+c=0 has real roots if:

If 'head' means one and 'tail' means two,then coefficient of quadratic equation ax^2 +bx+c=0 are chosen by tossing three fair coins. The probability that roots of the equating are imaginary is

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

If a, b, c in R and the quadratic equation x^2 + (a + b) x + c = 0 has no real roots then

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

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are and of opposite sing. The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are

If a + b + c >(9c)/4 and quadratic equation ax^2 + 2bx-5c = 0 has non-real roots, then-

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

Choose the correct option if it is known that one root of the quadratic equation ax^(2)+bx+c=0 is three times the other root?