If the equations `x^2+""2x""+""3""=""0` and `a x^2+""b x""+""c""=""0,""a ,""b ,""c in R` , have a common root, then `a"":""b"":""c` is (1) 3 : 2 : 1 (2) 1 : 3 : 2 (3) 3 : 1 : 2 (4) 1 : 2 : 3

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

If the given equation ax^2+bx+c=0 and the equation x^2+2x+9=0 have a common root, then a:b:c is (A) 1:2:9 (B) 1:2:3 (C) 1:1:1 (D) none of these

If x^(2)+3x+3=0 and ax^(2)+bx+1=0 ,a,b in Q have a common root,then value of (3a +b) is equal to : (A) (1)/(3) (B) 1 (C) 2 (D) 4

If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3

The quadratic equations x^2"-"6x""+""a""=""0""a n d""x^2"-"c x""+""6""=""0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is (1) 1 (2) 4 (3) 3 (4) 2

If x = 1 is a common root of the equations ax^(2) + ax + 3 = 0 and x^(2) + x + b = 0 , then ab =

If the equation 2x^(2)+3x+51=0 and x^(2)+2x+3 lambda=0 have a common root then lambda is equal to: a 0(b)-1(C)0,-1(d)2,-1:

The equations 3x^(2)+bx+c=0(b,c in R) and x^(2)-3x+5=0 have a common root,then the root of equation x^(2)-cx+b=0 are