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 a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c 0 (c) a >0

If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R , have a common root, then a : b:c is

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

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

If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^2+2e x+f=0 have a common root if d/c , e/b ,f/c are in a. A.P. b. G.P. c. H.P. d. none of these

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these

If the equation |x^2+b x+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 a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a. 6 real roots b. at least 2 real roots c. 4 real roots d. none of these