question_answer

What is the equation of the line through \[(1,2)\] so that segment of the line intercepted between the axes is bisected at this point?

A) \[2x-y=4\]

B) \[2x-y+4=0\]

C) \[2x+y=4\]

D) 2x+y+4=0

Correct Answer: C

Solution :

[c] \[\frac{0+x}{2}=1;\frac{0+y}{2}=2\] \[x=2;\,\,\,y=4\] Equation of line passing through (2, 0) and (0, 4) \[y-0=\frac{4-0}{0-2}(x-2)\] \[y=-2x+4\] \[2x+y=4\]