Q. 11 B4.5( 2 Votes )

In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21 /5)?

Answer :

Let given points be A (-3, -1) and B (-8, -9).


Let the point C(-5, -21 /5) divide AB in ratio m:n.



By section formula,


x = , y =


For point C(-5, -21 /5) on the line joined by the points A and B.


-5 = …(1)


And, - = …(2)


Solving 1,


-5(m + n) = -8m - 3n


5m + 5n = 8m + 3n


2n = 3m


=


Hence, ratio is 2:3.


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