Question

A straight line through the point $A(3,4)$ is such that its intercept between the axis is bisected at $A$. Its equation is

• A. $3x-4y+7=0$
• B. $4x+3y=24$
• C. $3x+4y=25$
• D. $x+y=7$

Answer 1

The correct option is B $4x+3y=24$

$A$ is the midpoint of $PQ$

$=\frac{a+0}{2}=3\Rightarrow a=6$

$=\frac{0+b}{2}=4\Rightarrow b=8$

$\Rightarrow$ Equation of line is $\frac{x}{6}+\frac{y}{8}=1$

$=\frac{4x+3y}{24}=1$

$=4x+3y=24$

Hence its the correct equation.