Which of the following points lies on the line \(2x-y=5\)?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \((3,\,1)\)
A point lies on a line only when its coordinates satisfy the equation of the line. Putting each point into \(2x-y\):
\((1,\,3)\): \(2(1)-3=-1\), not 5
\((2,\,1)\): \(2(2)-1=3\), not 5
\((3,\,1)\): \(2(3)-1=5\), so this point lies on the line
\((4,\,2)\): \(2(4)-2=6\), not 5