Question

If the point $(x_0,y_0)$ lies on the line $ax+by+c=0$; then :

• A. $a{x}_0+b{y}_0+c=0$.
• B. $a{x}_0+b{y}_0+c>0$.
• C. $a{x}_0+b{y}_0+c<0$.
• D. None of the above.

Answer 1

The correct option is A $a{x}_0+b{y}_0+c=0$.

If a point lies on a line, the coordinates of that point must satisfy the equation of that line.

So, if point having coordinates $(x_0,y_0)$ lies on line $ax+by+c=0$, then $a{x}_0+b{y}_0+c=0$ must be True.