Coordinate Geometry - Length of a Line Segment

Coordinate Geometry - Length of a Line Segment

TGM Original Questions

The line passing through the points \(P(-2, 5)\) and \(Q(q, 8)\) is parallel to the line \(3x + 4y + 4 = 0\).

Find the

  1. value of \(q\),
  2. distance \(PQ\),
  3. equation of the perpendicular bisector of \(PQ\).

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Answer:(a) \(q=-6\) (b) \(5\) units (c) \(y = \frac{4}{3}x + \frac{71}{6}\)

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