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Find a relation between x and …

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Find a relation between x and y such that the point (x,y) Is equidistant from the points (7,1)and (3,5)

    • Posted by Ranjan Yadav 6 years, 2 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 2 months ago

     

    Let P(x, y) be equidistant from the points A(7, 1) and B(3, 5).

    Given, AP = BP

    AP2 = BP2

    By distance formula,

    (x - 7)2 + (y - 1)2 = (x - 3)2 + (y - 5)2

    x2 + 49 - 14x + y2 + 1 - 2y = x2 + 9 - 6x + y2 + 25 - 10y

    -7x + 25 - y = -3x + 17 - 5y

    -4x + 8 + 4y = 0

    x - y = 2

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