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JEE Advanced2008MathematicsStraight LinesActual

Consider three points P=(- ( - ),- ), Q=( ( - ), ) and R=( ( - + ), ( - ) , where 0 < , , < 4 . Then,

Options

  1. AP lies on the line segment R Q
  2. BQ lies on the line segment P R
  3. CR lies on the line segment Q P
  4. DP, Q, R are non- collinear

Correct answer

D. P, Q, R are non- collinear

Step-by-step solution

For collinear points = | array ccc - ( - ) & - & 1 ( - ) & & 1 ( - + ) & ( - ) & 1 array | Clearly, 0 for any value of , , , hence points are non-collinear.

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