question_answer

The point P which divides the Line segment joining the points \[A(2,-5)\] and \[B(5,2)\] in the ratio \[2:3\] lies in the quadrant: (CBSE 2011)

A) \[I\]

B) \[II\]

C) \[III\]

D) \[IV\]

Correct Answer: D

Solution :

[d]

\[x=\frac{2\times 5+3\times 2}{2+3}\]                \[y=\frac{2\times 2+3(-5)}{2+3}\]

\[\Rightarrow \,\,\,\,\,\,\,\,x=\frac{10+6}{5}=\frac{16}{5}=3.2\,\,\,\Rightarrow \,\,y=\frac{4-15}{5}=\frac{-11}{5}=-2.2\]     Point \[P(3.2,\,-2.2)\] lies in IV quadrant.