.Find the points of trisection of the line segment Joining (-2,-1) and (4,8)​

Question

.Find the points of trisection of the line segment Joining (-2,-1) and (4,8)​

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Everleigh 2 months 2021-08-11T14:26:25+00:00 1 Answer 0 views 0

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    2021-08-11T14:27:53+00:00

    Step-by-step explanation:

    Let P and Q be the points of trisection of line joining the points A(4,1) & B(-2,-3).

    Then, AP = PQ = QB

    Now, P divides AB in the ratio 1:2 and Q divides AB in the ratio 2:1.

    Therefore,

    Coordinates of P = (

    3

    (−7+4)

    ,

    3

    4−4

    )=(−1,0)

    Coordinates of Q = (

    3

    (−14+2)

    ,

    3

    8−2

    )=(−4,2)

    Hence, the two points of trisection are P(−1,0) and (−4,2).

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