Question

2.5 If the equation x2 + 2x+3 = 0 and ax2 +bx+c=0, a, b, c e R, have a common root, then a:b:cis (A) 3:2:1 (B)1:3:2 (C)3:1:2 (D) 1:2:3

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( x=frac{-2 pm sqrt{4-12}}{2} ) ( x<0 text { [imeginury }] ) They axe conjugate ( x^{2}+2 x+3 quad ) & ( a n^{2}+b x+c ) are similal ( therefore frac{1}{a}=frac{2}{b}=frac{3}{c} ) ( a: b: 3=1: 2 ! 3 )