If `b=ac` then `b` is ... of `a`.

If alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta be those of Ax^(2)+2Bx+C=0 then prove that (b^(2)-ac)/(B^(2)-AC)=((a)/(A))^(2)

If a,b and c are the roots of the equation x^(3)+2x^(2)+1=0, find det[[a,b,cb,c,ac,a,b]]

If 2A=3B and 4B=5C then A:C is

The expression y=ax^(2)+bx+c has always the same sign as of a if (A)4ac b^(2)(C)4ac=b2(D)ac

If the ratio of the roots of ax^(2)+2bx+c=0 is same as the ratios of roots of px^(2)+2qx+r=0, then a.(2b)/(ac)=(q^(2))/(pr)b(b)/(ac)=(q^(square))/(pr) c.(b^(2))/(ac)=(q^(2))/(pr)d .none of these

If r is the ratio of the roots of the equation ax^(2)+bx+c=0, then r is the root of the equation.(A) acx^(2)+(2ac-b^(2))x+ac=0 (C) acx^(2)+(2ac-b^(2))x-ac=0 (B) acx^(2)-(2ac-b^(2))x+ac=0(D)acx^(2)-(2ac-b^(2))x-ac=0

If ratio of the roots of the equation ax^(2)+bx+c=0 is m:n then (A) (m)/(n)+(n)/(m)=(b^(2))/(ac) (B) sqrt((m)/(n))+sqrt((n)/(m))=(b)/(sqrt(ac))],[" (C) sqrt((m)/(n))+sqrt((n)/(m))=(b^(2))/(ac)]

If alpha,beta are the zeros of the polynomial f(x)=ax^(2)+bx+c, then (1)/(a^(2))+(1)/(beta^(2))=(b^(2)-2ac)/(a^(2)) (b) (b^(2)-2ac)/(c^(2))(c)(b^(2)+2ac)/(a^(2))(d)(b^(2)+2c)/(c^(2))