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Q.
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
Straight Lines
Solution:
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