10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

The ratio in which the X-axis divides the line segment joining \[A(3,6)\] and \[B(12,-3)\] is:

A) \[2:1\]

B) \[1:2\]

C) \[-2:1\]

D) \[1:-2\]

Correct Answer: A

Solution :

[a] Let the X-axis divides the join of \[A(3,6)\]and \[B(12,-3)\]in the ratio \[k:1\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\frac{-3k+6}{k+1}=0\] [Ordinate must be 0]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k=\frac{-6}{-3}\,\,\,\Rightarrow \,k=\frac{2}{1}\] i.e., \[2:1\]