1.

Find the equation of the line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Answer»

Given : x-intercept = y-intercept

i.e., a = b, then the equation of the line is

x/a + y/a = 1

⇒ x + y = a  … (1)

Since (1) passes through the point (2, 3), then we have,

2 + 3 = a

⇒ a = 5

∴ From (1). required line is x + y = 5.



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