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If the points a(x,2) b(-3,-4)c(7,-5) are …

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If the points a(x,2) b(-3,-4)c(7,-5) are collinear then find the value of x

    • Posted by Kannan Vami 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Since the points are collinear, then,
     Area of triangle = 0
    {tex}\frac { 1 } { 2 } \left[ x _ { 1 } \left( y _ { 2 } - y _ { 3 } \right) + x _ { 2 } \left( y _ { 3 } - y _ { 1 } \right) + x _ { 3 } \left( y _ { 1 } - y _ { 2 } \right) \right] = 0{/tex}
    {tex}\frac { 1 } { 2 } [ x ( - 4 + 5 ) + ( - 3 ) ( - 5 - 2 ) + 7 ( 2 + 4 ) ] = 0{/tex}
    x + 21 + 42 = 0
    x = -63

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