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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 4 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 9 months 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

1Thank You

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