1.

Find the equation of the straight line which passes through (1, -2) and cuts off equal intercepts on the axes.

Answer»

Given: A line passing through (1, -2) 

Assuming: 

The equation of the line cutting equal intercepts at coordinates of length ‘ a ‘ is

Explanation: 

Formula used:

 \(\frac{x}{a}+\frac{y}{b}=1\) 

  \(\frac{x}{a}+\frac{y}{a}=1\) 

⇒ x + y = a 

The line x + y = a passes through (1, -2 ) So the point satisfy the equation 1 -2 = a 

⇒ a = -1 

Hence the equation of the line is x + y = -1



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