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AP EAMCET20227 Jul 2022Morning ShiftMathematicsStraight LinesActual

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

Options

  1. AP A+P B+2 P C=0
  2. BP A+P B+P C=0
  3. CP A+P B=2 P C
  4. DP A+P B=P C

Correct answer

C. P A+P B=2 P C

Step-by-step solution

P A + A C = P C ...(i) P B + B C = P C ...(ii) On adding Eqs. (i) and (ii), P A + P B + A C + B C =2 P C P A + P B =2 P C [ B C =- A C ]

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