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

X-axis divides the Line segment joining \[A(2,-3)\] and \[B(5,6)\]in the ratio: (CBSE 2020)

A) \[2:3\]

B) \[3:5\]

C) \[1:2\]

D) \[2:1\]

Correct Answer: C

Solution :

[c] Let required ratio be \[m:n\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,P\equiv \left\{ \frac{5m+2n}{m+n},\frac{6m-3n}{m+n} \right\}\]

Since, that point lies on X-axis.

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{6m-3n}{m+n}=0\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,6m-3n=0\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,m:n=1:2\]