Skip to main contentSkip to solution

The pair of equations x + 2y - 4 = 0 and 2x + 4y - 12 = 0 represents two lines, which are ?

Solution

✅ Correct Option: 4

Compare ratios: a1a2=12\dfrac{a_1}{a_2} = \dfrac{1}{2}, b1b2=24=12\dfrac{b_1}{b_2} = \dfrac{2}{4} = \dfrac{1}{2}, c1c2=−4−12=13\dfrac{c_1}{c_2} = \dfrac{-4}{-12} = \dfrac{1}{3}.

Since the first two are equal but differ from the third, the lines are parallel and the system is inconsistent.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question