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Which point lies on the line 3x - 4y = 0?

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Answer and explanation

Correct answer: (4, 3)

A point lies on a line when its coordinates satisfy the equation. Testing option B gives 3(4) - 4(3) = 12 - 12 = 0, so (4, 3) is on the line. The other choices give 9 - 16 = -7, 3 - 8 = -5, and 6 - 4 = 2 respectively, so they do not satisfy the equation. Therefore B is unambiguous.

Tags

point checkingsubstitutionlinear equationsgraphical methodGraphical method of finding solutions.graphical method of finding solutionsPair of Linear Equations in Two VariablesMathematics

Frequently asked questions

What is the correct answer to this question?

(4, 3)

Why is this the correct answer?

A point lies on a line when its coordinates satisfy the equation. Testing option B gives 3(4) - 4(3) = 12 - 12 = 0, so (4, 3) is on the line. The other choices give 9 - 16 = -7, 3 - 8 = -5, and 6 - 4 = 2 respectively, so they do not satisfy the equation. Therefore B is unambiguous.

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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