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Find the value of k if …

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Find the value of k if a(2, 3), b(5, k), c(6, 7) are collinear points.

    • Posted by Gajendra Prasad Mallick 5 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 4 months ago

    Given 3 points A(2,3), B(5,k) and C(6,7) which are collinear we have to find the value of k.

    Points are collinear if the slopes of any two pairs are equal.
    Slope of AB = y2 -y2/x2 - x1= k-3/5-2
    Slop of BC= y2 -y2/x2 - x1= 7-k/6-5

    As lines are collinear slopes are equal

    ⇒k-3/5-2= 7-k/6-5

    ⇒ k- 3= 2(7-k)

    ⇒ k= 6

    The value of k is 6.

     

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