Which of the following points lies on the line \(2x-3y=0\)?
Answer and explanation
Correct answer: \((3,2)\)
For the point \((3,2)\), substitute \(x=3\) and \(y=2\): \(2x-3y=2(3)-3(2)=6-6=0\). Hence, the point lies on the line. For example, substituting \((2,1)\) gives \(4-3=1\), so it does not lie on the line. In an exam, the quickest method is to substitute each point into the equation.
Frequently asked questions
What is the correct answer to this question?
\((3,2)\)
Why is this the correct answer?
For the point \((3,2)\), substitute \(x=3\) and \(y=2\): \(2x-3y=2(3)-3(2)=6-6=0\). Hence, the point lies on the line. For example, substituting \((2,1)\) gives \(4-3=1\), so it does not lie on the line. In an exam, the quickest method is to substitute each point into the equation.
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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