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in Geometry and Algebra by (30.8k points)
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(3, 0) is a point on the line joining the points (3x2, 6x), (3y2, 6y) then prove that xy = –1

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by (30.5k points)
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Best answer

Slope of the line which passing through the points (3x2, 6x) and (3y2, 6y)

That is equal to the slope of the line which joins the points (3, 0) and (3x , 6x)

2x2 - 2 = 2xy + 2x2

2xy = -2

\(\Rightarrow\) xy + 1 = 0

or 2x - y = 0

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