Question

$\mathrm{The}\mathrm{lines}2x+y-6=0,4x-2y-4=0\mathrm{are}$

• A. Intersecting at single point
• B. Intersecting at multiple points
• C. Parallel lines
• D. None of the above

Answer 1

The correct option is A Intersecting at single point

For any pair of linear equation ,

a₁ x + b₁ y + c₁ = 0

a₂ x + b₂ y + c₂ = 0

If $\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$, then those two lines Intersects and system will have a unique solution.

$\Rightarrow \frac{2}{4}\ne \frac{1}{-2}$

Hence, given system of linear equations will have unique solution i.e, they intersect on a graph paper at a single point.