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Engineering Mathematics: Slope Analysis of Structural Intersections

Engineering Mathematics: Slope Analysis of Structural Intersections

The line \(y=1+2x\) intersects the curve \({{x}^{2}}-2xy+{{y}^{2}}=1\) at \(P\) and \(Q\). Find

  1. the coordinates of \(P\) and \(Q\),
  2. the equation of the perpendicular bisector \(PQ\).

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Answer:\(\text{(a)}\hspace{0.5em}P=(0,1),\ Q=(-2,-3)\) \(\text{(b)}\hspace{0.5em}y=-\dfrac12x-\dfrac32\)

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