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Let O be the origin and P, Q, R be the points such that PO + OQ = QO + OR . Then which one of the following is correct?

Options

  1. AP, Q, R are the vertices of an equilateral triangle
  2. BP , Q , R are the vertices of an isosceles triangle
  3. CP , Q , R are collinear
  4. DNone of the above

Correct answer

A. P, Q, R are the vertices of an equilateral triangle

Step-by-step solution

The correct answer is option A.

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