Question

The perpendicular distance (d) of a line Ax + By + C = 0 from a point $(x_1, y_1)$ is given by :

• A. $d= \frac{\left|Ax_{1} + By_{1} +C\right|}{\sqrt{A^{2}+B^{2}}}$
• B. $d= \frac{\left|Ax_{1} - By_{1} +C\right|}{\sqrt{A^{2}+B^{2}}}$
• C. $d= \frac{\sqrt{A^{2}+B^{2}}}{\left|Ax_{1} + By_{1} +C\right|}$
• D. $d= \frac{\sqrt{A^{2}- B^{2}}}{\left|Ax_{1} + By_{1} +C\right|}$

Answer 1

Answer: (A)

$d= \frac{\left|Ax_{1} + By_{1} +C\right|}{\sqrt{A^{2}+B^{2}}}$

Answer 2

$d= \frac{\left|Ax_{1} + By_{1} +C\right|}{\sqrt{A^{2}+B^{2}}}$