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Question
The intercept cut off by a line from y-axis is twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is ______.
Options
2x + y = 4
2x + y + 4 = 0
2x – y = 4
2x – y + 4 = 0
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Solution
The intercept cut off by a line from y-axis is twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is 2x + y = 4.
Explanation:
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
`x/a + y/(2a)` = 1
It passes through (1, 2), so, we have
`1/a + 2/(2a)` = 1 or a = 2
Therefore, the required equation of the line is given by
`x/2 + y/4` = 1 or 2x + y = 4
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