If the quadratic equation `alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0` has imaginary roots then

the quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2) then (b,c) is

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-bx-c=0 has roots alpha^(2)and beta^(2), then (b,c) is

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-bx-c=0 has roots alpha^(2)and beta^(2), then (b,c) is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2), then (b,c) is (75,-9) b.(-75,9) c.(-87,4) d.(-87,9)

If the quadratic equations x^2+bx+ca=0 & x^2+cx+ab=0 (where a!= 0 ) have a common root. prove that the equation containing their other root is x^2+ax+bc=0

If alpha is a real root of the quadratic equation a x^2+b x+c=0a n dbeta ils a real root of -a x^2+b x+c=0, then show that there is a root gamma of equation (a//2)x^2+b x+c=0 whilch lies between alpha & beta

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0