Question

# Find the equation of line which cuts off equal intercepts on the co-ordinates axes and passes through $$(2,5)$$.

Solution

## Let the equation of the line be $$x+y=a$$.......(1)Where $$a$$ is the equal intercept made by the line on both the co-ordinate axes.According to the problem, line (1) passes through $$(2,5)$$.Then we get,$$2+5=a$$or, $$a=7$$.So the equation of the line is $$x+y=7$$.Mathematics

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