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Question -

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



Answer -

Given:

A line passingthrough (1, -2)

Let us assume, theequation of the line cutting equal intercepts at coordinates of length ‘a’ is

By using the formula,

The equation of theline is x/a + y/b = 1

x/a + y/a = 1

x + y = a

The line x + y = apasses through (1, -2)

Hence, the pointsatisfies the equation.

1 -2 = a

a = -1

The equation of theline is x+ y = -1

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