Geo2.3

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Find the equation of the straight line which makes intercepts whose sum is 5 and product is 6.

The equation of a straight line with intercepts and b respectively is

{\frac  {x}{a}}+{\frac  {y}{b}}=1\,

Given that

a+b=5,ab=6\,

Solving these equations we get

a=3,b=2\,

and

a=2,b=3\,

Then equation of the straight line is

{\frac  {x}{3}}+{\frac  {y}{2}}=1,{\frac  {x}{2}}+{\frac  {y}{3}}=1\,

2x+3y-6=0,3x+2y-6=0\,


Main Page:Geometry:Straight Lines-I