Mathematics
The center of a circle is C(2α - 1, 3α + 1) and it passes through the point A(-3, -1). If a diameter of the circle is of length 20 units, find the value(s) of α.
Coordinate Geometry
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Answer
Given,
Diameter = 20 units
Radius = = 10 units.
∴ AC = 10 units

On squaring both sides,
Hence, α = or α = 2.
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