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Find the ratio in which the …

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Find the ratio in which the line segment joining (1,-7) and (6, 4) is divided by x-axis

    • Posted by Simranpreet Kaur 5 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years ago

    Given : Line segment joining the points (6,4)and(1,-7) is divided by x axis.

    To find : The ratio in the line segment and the coordinates of point of division?

    Solution :

    Let the line segment points A=(6,4) and B=(1,-7)

    Let the line segment divide by x-axis with point P=(x,0)

    Let the ratio in which line segment divide be m:n=k : 1

    Applying section formula,

    Substitute the values,

    Compare the y-coordinate,

    So, The ratio is 4 :7.

    Compare the x-coordinate,

    Put the value of k,

    So, The coordinate of point of division is 

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