SSC
Quantitative Aptitude
Coordinate Geometry
Question Bank
Coordinate Geometry and Graphs of Linear Equations (I)
question_answer
The graph of \[x+2y=3\]and \[3x-2y=1\]meet the Y-axis at two points having distance
A)\[\frac{8}{3}\] units
B)\[\frac{4}{3}\]units
C)1 unit
D)2 units
Correct Answer:
D
Solution :
[d] Given lines are \[x+2y=3\] (i) and \[3x-2y=1\] (ii) put \[x=0,\]then From Eq. (i) \[y=-\frac{3}{2}\] From Eq. (ii) \[y=-\frac{1}{2}\] Distance between both the points \[=\frac{3}{2}-\left( -\frac{1}{2} \right)=\frac{4}{2}=2\,\text{units}\]