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

The value of a so that the point \[(3,a)\] lies on the line represented by \[2x-3y=5,\] is:

A) \[\frac{1}{2}\]

B) \[\frac{1}{3}\]

C) \[-\frac{1}{2}\]

D) \[-\frac{1}{3}\]

Correct Answer: B

Solution :

[b] Since, \[(3,a)\] lies on the line \[2x-3y=5\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,2(3)-3(a)=5\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,6-3a=5\Rightarrow 3a=1\,\,\,\,\,\,\,\,\Rightarrow \,\,\,a=\frac{1}{3}\]