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Find the coordinates of the points …

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Find the coordinates of the points which divide the line segment joining A(-2,2) and B(2,8) into four parts

    • Posted by Tanya Goyal 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Yogita Ingle 6 years, 10 months ago

    <div itemprop="text">

    From the figure, it can be observed that points X, Y, Z are dividing the line segment in a ratio 1:3, 1:1, 3:1 respectively.
    Coordinates of x = {tex}\;\left(\frac{1\times2+3(-2)}{1\;+\;3},\frac{1\times8\;+3\times2}{1+\;3}\right)=\;\left(-1,\;\frac72\right){/tex}
    Coordinate of Y = {tex}\;\left(\frac{2 +(-2)}{2},\frac{2 +8}{2}\right)=(0,5){/tex}
    Coordinate of Z = {tex}\;\left(\frac{3\times2+1(-2)}{1\;+\;3},\frac{3\times8\;+1\times2}{1+\;3}\right)=\;\left(\;1,\;\frac{13}2\right){/tex}
     

    </div>

    1Thank You

    Puja Sahoo? 6 years, 10 months ago

    Let, the points be P1, P2, P3......so, P1(0,5) , P2(-1, 7/2),..... P3(1, 13/2)........

    2Thank You

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