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

Asked by Aaryan | 1 year ago |  44

##### Solution :-

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 $$\dfrac{ x}{a} + \dfrac{y}{b} = 1$$

$$\dfrac{ x}{5} + \dfrac{y}{5} = 1$$

By taking LCM

x + y = 5

The equation of line is x + y = 5

Answered by Aaryan | 1 year ago

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