Question

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

• A. 2x + y = 4
• B. 2x + y + 4 = 0
• C. 2x - y = 4
• D. 2x - y + 4 = 0

Answer 1

Answer: (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