1.

Find the equation to the straight line which cuts off equal positive intercepts on the axes and their product is 25.

Answer»

Given:

a = b and ab = 25

Let us find the equation of the line which cutoff intercepts on the axes.

∴ a2 = 25

a = 5 [considering only positive value of intercepts]

By using the formula,

The equation of the line with intercepts a and b is x/a + y/b = 1 

x/5 + y/5 = 1

By taking LCM

x + y = 5
∴ The equation of line is x + y = 5



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