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Three vertices of triangle are complex number `alpha,beta` and `gamma`. Then prove that the perpendicular form the point `alpha ` to opposite side is given by the equation `Re((z-alpha)/(beta-gamma)) = 0` where z is complex number of any point on the perpendicular.

Text Solution

Verified by Experts

Since `AB both BC`
`rArr arg((alpha-z)/(gamma-beta)) = (pi)/(2)`
So, (z-alpha)/(beta-gamma) =0`
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