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JEE Main2005MathematicsVector AlgebraActual

If C is the mid point of A B and P is any point outside A B , then

Options

  1. APA + PB =2 PC
  2. BPA + PB +2 PC =0
  3. CPA + PB + PC =0
  4. DNone of these

Correct answer

A. PA + PB =2 PC

Step-by-step solution

aligned & PA + AC + CP =0 & PB + BC + CP =0 aligned Adding, we get PA + PB + AC + BC +2 CP =0 Since A C =- B C aligned & & CP =- PC & PA + PB -2 PC =0 . aligned

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