10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

The point of intersection of the lines represented by \[3x-2y=6\] and the x-axis is:

A) \[(2,0)\]

B) \[(0,-3)\]

C) \[(-2,0)\]

D) \[(0,3)\]

Correct Answer: A

Solution :

[a] We have, \[3x-2y=6\] ...(1)

Equation of x-axis is \[y=0\]

Putting \[y=0\] in eq. (1), we get

\[3x-2(0)=6\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=2\]

\[\therefore \] Required point of intersection is \[(2,0)\].