Question

The length of a line segment is 3 which is perpendicular on the line 4x + 3 Y + C=0 from the origin. Then the value of C will be​

Answer 1

Answer:

The value of c are

15 (or) -15

Step-by-step explanation:

$\text{Formula: }$

$\text{The length of the perpendicular from origin to the line ax+by+c=0 is }\\|\frac{c}{\sqrt{a^2+b^2}}|}$

$\text{Given line is 4x+3y+c=0 }$

$\text{As per given data,}$

$\displaystyle|\frac{c}{\sqrt{4^2+3^2}}|=3$

$\displaystyle|\frac{c}{\sqrt{16+9}}|=3$

$\displaystyle|\frac{c}{\sqrt{25}}|=3$

$\displaystyle|\frac{c}{5}|=3$

$\displaystyle\frac{c}{5}=\pm\,3$

$\implies\bf\,c=\pm\,15$