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IAT IISER2021MathematicsStraight Lines

Suppose a, b R are such that the points (a, b), (a^2, b^2 ) , and (a^3, b^3 ) in the coordinate plane are distinct, collinear, and the line passing through these points is not parallel to the y -axis. Then, for all such choices of (a, b) , the slope of the line passing through these three points can take

Options

  1. Aexactly three values.
  2. Binfinitely many values.
  3. Cexactly two values.
  4. Dexactly one value.

Correct answer

C. exactly two values.

Step-by-step solution

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