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    Question

    If a point P(x, y) is equidistant from A(6, 2) and B(-2,

    6), find the equation representing this condition.
    A 5x = 3y Correct Answer Incorrect Answer
    B x = y Correct Answer Incorrect Answer
    C 2x = y Correct Answer Incorrect Answer
    D 2x = 2y Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Using the distance formula, On Squaring both sides, Expanding, Canceling x2and y2

    −12x − 4y + 40 = 4x − 12y + 40 −12x − 4y − 4x + 12y = 0 −16x + 8y = 0 2x − y = 0 Thus, the equation is 2x - y = 0. Hence, 2x = y is answer.

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