If `r` is the ratio of the roots of the equation `ax^2 + bx + c = 0` , show that `(r+1)^2/r =(b^2)/(ac)`

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

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .

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

If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)/(r ) =

Let r, s, t be the roots of the equation x ^(3) + ax ^(2) +bx+c=0, such that (rs )^(2) + (st)^(2) + (rt)^(2) =b^(2)-kac, then k =

If sinthetaand costheta are the roots of the equation ax^2+bx+c=0 , then (A) (a-c)^2=b^2+c^2 (B) (a+c)^2=b^2-c^2 (C) a^2=b^2-2ac (D) a^2+b^2-2ac=0

If the ratio of the roots of the equation ax^2+bx+c=0 is equal to ratio of roots of the equation x^2+x+1=0 then a,b,c are in

Which of the following statements are correct E_(1) ) If a + b + c = 0 then 1 is a root of ax^(2) + bx + c = 0 . E_(2) ) If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c = 0 then b^(2)-a^(2) =2ac

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If 3+4i is a root of the equation ax^(2)+bx+c= 0 where a, b, c in R then 31a+b+c=