Question

The length of perpendicular from $(4,3)$ to the straight line which makes intercepts $4,3$ on coordinate axes is

• A. $\frac{12}{5}$
• B. $\frac{5}{12}$
• C. $\frac{7}{5}$
• D. $\frac{5}{7}$

Answer 1

The correct option is A $\frac{12}{5}$

Intercepts made by the straight line on the co-ordinate axes are $4,3$.

Hence ,equation of line is $\frac{x}{4}+\frac{y}{3}=1$

$\Rightarrow 3x+4y=12$

The length of perpendicular from $(4,3)$ to the straight line is

$d=\left|\frac{3\times 4+4\times 3-12}{\sqrt{3^2+4^2}}\right|=\frac{|12+12-12|}{\sqrt{9+16}}=\frac{12}{\sqrt{25}}=\frac{12}{5}$units