Straight Line Question 314

Question: The intercept cut off from y?axis is twice that from x?axis by the line and line is passes through (1, 2) then its equation is [AMU 1972; RPET 1985]

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:

  • Let the intercept be $ a\text{ and}2a $ , then the equation of line is $ \frac{x}{a}+\frac{y}{2a}=1 $ , but it also passes through (1, 2), therefore $ a=2 $ . Hence the required equation is $ 2x+y=4 $ .