Coordinate Geometry - Parallel and Perpendicular Lines
Coordinate Geometry - Parallel and Perpendicular Lines
TGM Original Questions
The coordinates of \(4\) points are \(A(2, 10)\), \(B(4, 2k)\), \(C(k, 28)\), \(D(3k, 9k + 4)\). Find the value(s) of \(k\) if
- the points \(A\), \(B\), \(C\) are collinear,
- \(AB\) is parallel to \(CD\).
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Answer:(a) \(k=8\) or \(-1\). (b) \(k=\dfrac{3}{2}\) for distinct parallel lines; \(k=8\) makes the lines coincide.
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