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The points A(3;1), B(1;-2) and C(2;3) in a cartesian plane are given.

If CD is parallel to AD with D(t/3;t+1) determine the value of t

  • geometry -

    slope of cd=slopeof ad

    (3-(t+1))/(2-t/3) = (1-(t+1))/(3-t/3)

    check that, solve for t.

  • geometry -

    If CD is parallel to AD, then CD meets AD at D. But parallel lines never meet!

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