Question

If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is $(3,2)$, then the equation of the line will be

• A. $2x+3y=12$
• B. $3x+2y=12$
• C. $4x-3y=6$
• D. $5x-2y=10$

Answer 1

Answer: (A)

Equation of line making intercepts $a$ and $b$ with $x$ and $y$-axes is
$\frac{x}{a}+\frac{y}{b}=1\dots \left(i\right)$



Here, we have
$\frac{a+0}{2}=3$,
$\frac{b+0}{2}=2$
$\Rightarrow a=6$,
$b=4$
Putting these values in $\left(i\right)$, we get
$\frac{x}{6}+\frac{y}{4}=1$
$\Rightarrow 2x+3y=12$