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

Question

Philoid · Accepted Answer

Concept Used:

The equation of the line with intercepts a and b is

To find:

The equation of the line which cutoff intercepts on the axes.

Given:

Here a = b and ab = 25

Explanation:

∴ a² = 25

⇒ a = 5 since we are to take only positive value of intercepts

Hence, the equation of the required line is

Formula used:

⇒ x + y = 5

Hence, the equation of line is x + y = 5