1.

Find the equation of the line that cut off equal intercepts on the coordinate axis and passes through the point

Answer»

Let the equal intercept is ‘a’, then equation of the required line is \(\frac{x}{a} + \frac{y}{a} = 1\)

Since this line passes through the point (2, 3),

we have; \(\frac{2}{a} + \frac{3}{a} = 1\) ⇒ \(\frac{5}{a}\) = 1 ⇒ a = 5

Therefore the equation of the line is \(\frac{x}{5}+ \frac{y}{5}\)=1

⇒ x + y = 5.



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