Find the Ratio Which the Line Segment Joining the Pints A(3, -3) and B(-2,7) is Divided by X -axis Also, Find the Point of Division. - Mathematics

Find the ratio which the line segment joining the pints A(3, -3) and B(-2,7) is divided by x -axis Also, find the point of division.

Solution

The line segment joining the points A(3, -3) and B(-2,7)  is divided by x-axis. Let the required ratio be k : 1 So ,

 0= (k (7) -3)/(k+1) ⇒ k =3/7

Now,

"Point of division" = ((k(-2)+3)/(k+1 \) , (k(7)-3)/(k+1))

=((3/7 xx(-2)+3)/(3/7+1) , (3/7xx (7) -3)/(3/7 +1))    (∵ k = 3/7)

= ((-6+21)/(3+7), (21-21)/(3+7))

=(3/2,0)

"Hence, the required ratio is 3:7and the point of division is"(3/2, 0)

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 29