The line 2x – 3y = 4 is the perpendicular bisector of the line segment AB.
If coordinates of A are (–3, 1) find coordinates of B.
C is the mid-point of AB.
As C lies on the line 2x-3y = 4, it must satisfy the equation.
Now, CD ? AB. Thus, the product of their slopes = -1
slope of CD =
∴slope of AB=
From equations (1) and (2), we get
Hope you get it.
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