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KCET2010MathematicsStraight Lines

The line joining A(2,-7) and B(6,5) is divided into 4 equal parts by the points P , Q and R such that AQ = RP = QB . The mid point of P R is

Options

  1. A(4,12)
  2. B(-8,1)
  3. C(4,-1)
  4. D(8,-2)

Correct answer

C. (4,-1)

Step-by-step solution

Given that, and aligned AP &= PQ = QR = RB AQ &= RP = QB aligned Since, AQ = QB , that means Q is the mid point of AB = [ 2+6 2 , -7+5 2 ]=(4,-1) Mid point of P R=(4,-1)[ PQ = QR ]

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