question_answer

If the co-ordinates of the middle point of the portion of a line intercepted between coordinate axes (3,2), then the equation of the line will be            [RPET 1985; MP PET 1984]

A)            \[2x+3y=12\]                             

B)            \[3x+2y=12\]

C)            \[4x-3y=6\]                               

D)            \[5x-2y=10\]

Correct Answer: A

Solution :

           Obviously the coordinates of the points A and B are (6, 0) and (0, 4) respectively.            Therefore the equation of line AB is \[\frac{x}{6}+\frac{y}{4}=1\]                    \[\Rightarrow 2x+3y=12\].