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Question
The line which cuts off equal intercept from the axes and pass through the point (1, –2) is ______.
Solution
The line which cuts off equal intercept from the axes and pass through the point (1, –2) is s x + y + 1 = 0.
Explanation:
Intercept form of the line is `x/a + y/b` = 1 ....(i)
Given that a = b
∴ `x/a + y/b` = 1
⇒ x + y = a .....(ii)
If the line (i) passes through (1, – 2) we get
1 – 2 = a
⇒ a = – 1
So, the required equation is x + y = – 1
⇒ x + y + 1 = 0.
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