Straight Line Question 267

Question: The intercept cut off by a line from y-axis twice than that form x-axis, and the line passes through the point (1, 2). The equation of the line is

Options:

A) $ 2x+y=4 $

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

C) $ 2x-y=4 $

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

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Let the line make intercept ?a? on x-axis. Then it makes intercept ?2a? on y-axis. Therefore, the equation of the line is given by $ \frac{x}{a}+\frac{y}{2a}=1 $ it passes through (1, 2), so, we have $ \frac{1}{a}+\frac{2}{2a}=1 $ or $ a=2 $ Therefore, the required equation of the line is given by $ \frac{x}{2}+\frac{y}{4}=1 $ or $ 2x+y=4 $