Question

The line which cuts off equal intercept from the axes and pass through the point (1, –2) is ______.

Answer 1

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.