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    Question

    In ╬ФPQR,PQ=QR and O is an interior point of ╬ФPQR such

    that тИа OPR= тИа ORP . Consider the following statements: (i) ╬ФPOR is an isosceles triangle. (ii) O is the centroid of ╬ФPQR. (iii) ╬ФPQO is congruent to ╬ФRQO. Which of the above statements are correct?
    A Only (i) and (ii) Correct Answer Incorrect Answer
    B Only (i) and (iii) Correct Answer Incorrect Answer
    C Only (ii) and (iii) Correct Answer Incorrect Answer
    D Only (ii) Correct Answer Incorrect Answer

    Solution

    тЦ│PQR will be an isoceles triangle, so Ist statement is true. O is the centroid of┬атЦ│PQR, is not found, so second statement is false. тЦ│ PQO┬атЙЕ тЦ│RQO with the condition (Side side side) PO = OR PQ = RQ OQ = OQ So, statement iii, is also true.

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