Which of the following points lies on the line represented by the equation \(2x-y=1\)?
Answer and explanation
Correct answer: \((3,5)\)
A point lies on a line if its coordinates satisfy the equation of the line. For option C, \(2(3)-5=6-5=1\), so \((3,5)\) lies on the line. For example, option D gives \(2(4)-6=2\), not 1, so it is incorrect. Exam tip: Substitute the given \(x\)- and \(y\)-coordinates directly into the equation to test a point.
Frequently asked questions
What is the correct answer to this question?
\((3,5)\)
Why is this the correct answer?
A point lies on a line if its coordinates satisfy the equation of the line. For option C, \(2(3)-5=6-5=1\), so \((3,5)\) lies on the line. For example, option D gives \(2(4)-6=2\), not 1, so it is incorrect. Exam tip: Substitute the given \(x\)- and \(y\)-coordinates directly into the equation to test a point.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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