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Find the positive values of m …

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Find the positive values of m for which the distance between the points A(3,1)B(13,m)is 10 unit

    • Posted by Anmol Randhawa 6 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Purva Dhammi 6 years, 7 months ago

    Distance formula= √ (x2 - x1)2  + ( y2 - y1)2

    Distance = 10 units

    √ (13-3)2 + (m-1)2                         = 10

    √  (10)2  + m2 + (1)2 - 2(m)(1) = 10            

    Squaring both sides

    (10)2  + m2 + (1)2 - 2(m)(1) = (10)2

         100 + m2 + 1 - 2m           = 100

        m2 -2m + 1                         = 100 - 100

                   m2 -2m+1               = 0

                m2 - 1m - 1m +1       =0

             m (m -1) -1( m-1)         =0

                 ( m-1) (m-1)              =0

                          m-1=0

                Therefore,      m= 1

    0Thank You

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