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If points \((t, 2t)\), \((-2, 6)\) and \((3, 1)\) are collinear, then \(t\) is equal to

Question and options

If points (t,2t)(t, 2t), (−2,6)(-2, 6) and (3,1)(3, 1) are collinear, then tt is equal to
  1. 34\frac{3}{4}
  2. 43\frac{4}{3}
  3. 35\frac{3}{5}
  4. 53\frac{5}{3}

Answer and explanation

Correct answer: B - \(\frac{4}{3}\)
The line through (-2,6) and (3,1) is y = -x + 4. Putting in (t, 2t): 2t = -t + 4, so t = 4/3.

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