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