If `a ,b ,c in R` and equations `a x^2+b x+c=0a n dx^2+2x+3=0` have a common a rot, then find `a : b : c`

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

If a,b,c in R and the equation ax^(2)+bx+c=0 and x^(2)+x+1=0 have a common root,then

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

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 x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=