If the equation `a x^2+b x+c=0,a ,b ,c , in R` have none-real roots, then `c(a-b+c)>0` b. `c(a+b+c)>0` c. `c(4a-2b+c)>0` d. none of these

If the roots of equation ax^(2)+bx+c=0;(a,b,c in R and a!=0) are non-real and a+c>b. Then

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

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

If quadratic equation ax^(2)+bx+c=0 does not have real roots,then which of the following may be false (a) a(a-b+c)>0 (b) c(a-b+c)>0 e) b(a-b+c)>0 (d) a+b+c)(a-b+c)>0

If a

If the equation |x^(2)+bx+c|=k has four real roots,then A.b^(2)-4c>0 and 0 0 and k>(4c-b^(2))/(4) D.none of these

If the equations ax^(2)+bx+c=0 and x^(3)+3x^(2)+3x+2=0 have two common roots,then a=b=c b.a=b!=c c.a=-b=c d.none of these

If a , b , c are in GP, then the equations a x^2+2b x+c=0 and dx^2+2e x+f=0 have a common root, if, d/a , e/b ,f/c are (1985, 2M) AP (b) GP (c) HP (D) None of these

If the roots of the equation ax^(2)+bx+c=0,a!=0(a,b,c are real numbers),are imaginary and a+c

If a+b+c=0, a,b,c in Q then roots of the equation (b+c-a) x ^(2) + (c+a-c) =0 are: