determine the ratio in which the line 2x+y-4=0 divides the line segment joining A(2,-2) and B (3,7). also find the point of interestion​

Question

determine the ratio in which the line 2x+y-4=0 divides the line segment joining A(2,-2) and B (3,7). also find the point of interestion​

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Sophia 3 weeks 2021-11-06T09:02:49+00:00 1 Answer 0 views 0

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    2021-11-06T09:03:49+00:00

    Answer:

    Let the given line segment is divided in the ratio 1:n.

    By section formula,

    x=

    1+n

    3(1)+2(n)

    x=

    1+n

    3+2n

    And,

    y=

    1+n

    7(1)+(−2)n

    y=

    1+n

    7−2n

    Substituting these value in the given equation of line,

    2(

    1+n

    3+2n

    )+(

    1+n

    7−2n

    )−4=0

    6+4n+7−2n−4(1+n)=0

    13+2n−4−4n=0

    9−2n=0

    n=

    2

    9

    Therefore, the ratio is 2:

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