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    Question

    In ΔPQR, S and T are points on PQ and PR, respectively,

    such that ST ∥ QR and ST divides the ΔPQR into two parts of equal areas. Then the ratio of PS and QS is:
    A √2 + 1 : 1 Correct Answer Incorrect Answer
    B 1 : 1 Correct Answer Incorrect Answer
    C 1 : √2 + 1 Correct Answer Incorrect Answer
    D 1 : √2 + 1 Correct Answer Incorrect Answer

    Solution

    ATQ, For similar triangles: Let PS = x, QS = y. Then So:

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