Question

1.
Ifa non
a will be:
zero root of the equation x² + 2x + 3g = 0 and 2x2 + 3x + 5g =0 is common, then the value of g
(A) 2
(B) 1
(C)-1
(D)​

Answer 1

Answer:

Let α be the common root.

Therefore,

2(α)  2 +3α+5λ=0...(i)

(α)  2 +3α+3λ=0...(ii)

Subtracting (ii) from (i), we get

α 2 +2λ=0 α=±  −2λ

​Substituting in 2x  

2

+3x+5λ=0

we get

2(−2λ)±3(  

−2λ

​ )+5λ=0

λ=∓3  

−2λ

​Hence, λ=0 or λ=−18