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AP EAMCET202017 Sep 2020Evening ShiftMathematicsVector AlgebraActual

If ( P O + O Q = Q O + O R ), then

Options

  1. A(Q ) is the mid-point of ( P R )
  2. B(Q ) divides ( PR ) in (2: 1 )
  3. C(Q ) divides ( PR ) in (1: 2 )
  4. D(Q ) divides ( PR ) in (-1: 2 )

Correct answer

A. (Q ) is the mid-point of ( P R )

Step-by-step solution

From diagram below, Using triangle law, ( aligned & P O + O Q = Q P and Q O + O R = Q R & Given; P O + O Q = Q O + O R Q P = Q R & | Q P |=| Q R | Q P length =Q R length & Q is mid point of P R aligned )

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