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Solve the equation graphically :2x+y=2, . …

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Solve the equation graphically :2x+y=2, . . . 2y-x=4. What is the area of triangle formed by the two lines and x- axis

    • Posted by Yuvraj Singh 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    {tex}2x + y = 2{/tex} ...(i)
    {tex}2y - x = 4{/tex} ...(ii)
    from (i), {tex}2x + y = 2 {/tex}

    <th scope="row">x</th> <th scope="row">y</th>
    1 0 2
    0 2 -2

    from (ii), {tex}2y - x = 4 {/tex}

    <th scope="row">x</th> <th scope="row">y</th>
    0 -4 2
    2 0 3


    Area {tex}\triangle{/tex} = {tex}\frac{1}{2}{/tex}AB {tex}\times{/tex} CO
    ={tex}\frac{1}{2}{/tex} {tex}\times{/tex}5 {tex}\times{/tex} 2
    =5 square units.

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