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Question -

Find the relation between x and y if thepoints (x, y), (1, 2) and (7, 0) are collinear.



Answer -

If given points are collinear then area oftriangle formed by them must be zero.

Let (x, y), (1, 2) and (7, 0) are vertices ofa triangle,

Area of a triangle = = 0

[x(2 тАУ 0) + 1 (0 тАУ y) + 7( yтАУ 2)] = 0

  • 2x тАУ y + 7y тАУ 14 = 0
  • 2x + 6y тАУ 14 = 0
  • x + 3y тАУ 7 = 0. Which is required result.

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