MCQ
A linear equation in two variables is of the form $ax + by + c = 0$, where?
  • $a \neq 0$ and $b \neq 0$
  • B
    $a = 0$ and $b = 0$
  • C
    $a \neq 0$ and $b = 0$
  • D
    $a = 0$ and $b \neq 0$

Answer

Correct option: A.
$a \neq 0$ and $b \neq 0$
A linear equation in two variables is of the form $a x+b y+c=0$ as $a$ and $b$ are coefficient of $x$ and $y$ so if $a=0$ and $b$ $=0$ or either of one is zero in that case the equation will be one variable or their will be no equation respectively. Therefore when $a \neq 0$ and $b \neq 0$ then only the equation will be in two variable.

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