Question

a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, where a₁, b₁, c₁, a₂, b₂, c₂ are all real numbers and a₁²+ b₁² ≠ 0, a₂² + b₂² ≠ 0, is called a ______.

Options

• family of two different straight lines

• family of two coincident lines

• pair of linear equations in two variables

• none of these

Answer 1

a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, where a₁, b₁, c₁, a₂, b₂, c₂ are all real numbers and a₁²+ b₁² ≠ 0, a₂² + b₂² ≠ 0, is called a pair of linear equations in two variables.