Straight Line Question 243

Question: 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?

Options:

A) $ 2x-y=4 $

B) $ 2x-y+4=0 $

C) $ 2x+y=4 $

D) 2x+y+4=0

Show Answer

Answer:

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 $