What is the equation of the straight line which passes through the point (1, -2) and cuts off equal intercepts from the axes ?

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NDA 01/2022: Maths Previous Year paper (Held On 10 April 2022)
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  1. x + y - 1 = 0
  2. x - y - 1 = 0
  3. x + y + 1 = 0
  4. x - y - 2 = 0

Answer (Detailed Solution Below)

Option 3 : x + y + 1 = 0
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Detailed Solution

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Concept:

The equation of line in intercept form is

, where a and b are the intercept made on the x and y-axis.

Calculation:

The equation of line in intercept form is

⇒ 

Given, the line cuts off equal intercepts. So a = b

⇒ 

⇒ x + y = a      ------(i)

It passes through (1, -2).

So 1 – 2 = a

⇒ a = -1

⇒ x + y = -1        [from (i)]

⇒ x + y + 1 = 0

∴ x + y + 1 = 0 is the required equation.

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