Question

Find the relation connecting a and b, if the lines ay = 2x + 4 and 4y + bx = 2 are perpendicular to each other.

Answer 1

Slope of line ay = 2x + 4 is `2/"a"`

Slope of line 4y + bx = 2 is `(-"b")/4`

Since the lines are given perpendicular to each other, the product of the slopes must be equal to -1

`therefore 2/"a" xx (-"b")/4` = -1

`therefore` b = 2a