Question

A straight line `L` is perpendicular to the line `5x-y=1` . The area of the triangle formed by line `L ,` and the coordinate axes is 5. Find the equation of line `Ldot`

Answer 1

A straight line perpendicular to `5x-y=1` is `x+5y=lambda`
Since, area of triangle `=5`

`implies(1)/(2)|lambda*(lambda)/(5)|=5`
`implieslambda^(2)=50`
`implies|lambda|=5sqrt(2)`
`:.` Equation of the line `L` is, `x+5y=+-5sqrt(2)`