Find the equation of the straight line perpendicular to `5x-2y=8` and which passes through the mid point of the line segment joining (2,3) and (4,5).

Explanation

The line perpendicular to` 5x − 2y = 8` is
`2x + 5y + lambda = 0 `


Coordinates of the mid points of `(2,3)` and `(4,5)`


` = (2+4)/2,(3+5)/2 = (3,4) `

`∴ 6 + 20 + lambda = 0`

` ⇒ lambda = -26 `

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