Question

If b₁b₂ = 2(c₁ + c₂) and b₁, b₂, c₁, c₂ are all real numbers, then at least one of the equations x² + b₁x + c₁ = 0 and x² + b₂x + c₂ = 0 has 

(A) real roots 

(B) purely imaginary roots 

(C) roots of the form a + ib (a, b ∈ R, ab ≠ 0) 

(D) rational roots

Answer 1

The correct option (A) real roots  

Explanation:

D₁ + D₂ = (b₁ – b₂)² ≥ 0 

Hence real roots