Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-2

In what ratio is the line segment joining the points \[A\,(6,3)\]and \[B\,(-\,2,-\,5)\] divided by the X-axis?

A) 3 : 2

B) 3 : 5

C) 2 : 3

D) 2 : 5

Correct Answer: B

Solution :

[b] Let X-axis cut the join of \[A\,(6,\,\,3)\] and \[B\,(-\,2,\,-5)\] in the ratio at \[k:1\] the point P.

Then, coordinates of P are \[\left( \frac{-\,2k+6}{k+1},\frac{-\,5k+3}{k+1} \right).\]

But P lies on X-axis. So its ordinate is 0.

\[\therefore \] \[\frac{-\,5k+3}{k+1}=0\]

\[\Rightarrow \] \[-\,5k+3=0\]\[\Rightarrow \]\[k=\frac{3}{5}\]

Hence, required ratio is \[\frac{3}{5}\]i.e. \[3:5.\]