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Find the value of y for …

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Find the value of y for which the distance between the points p (2, - 3 )and q(10,y)is 10 units

    • Posted by Sanju Ramesh 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 6 years, 10 months ago

    Given that distance between the points P (2, -3) and Q (10, y) is 10 

    Therefore using distance formula
    √(2 -10)2 + (-3-y)2 = 10
    √ (-8)2 + ( 3 + y)2 = 10
    squaring on both side
    64 + (y +3)2 = 100
    (y + 3)2 = 36
    y + 3 = ± 6
    y+3=6
    or y+3= -6
    Therefore, y=3 or y= -9

    2Thank You

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