Prove that the points (a , b), (c , d) and (a - c, b - d) are coll | Filo
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Class 12

Math

Algebra

Determinants

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Prove that the points (a , b), (c , d) and (a - c, b - d) are collinear if ad = bc. Also show that the straight line passing through these points passes through origin.

Solution: If the given points be A,B,C then as they are collinear therefore  slopes of AC and BC are same.
    or       .....(1)
Since AC is
It will pass through (0, 0) if
or which is true by (1).
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