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Decide Which of the Following Statements is True and Which is False. Give Reasons for Your Answer. Points Whose X and Y Coordinates Are Equal, Lie on a Line Passing Through the Origin.

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Question

Decide which of the following statements is true and which is false. Give reasons for your answer.

Points whose x and y coordinates are equal, lie on a line passing through the origin.

Answer in Brief
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Solution

The examples of points having equal x and y coordinates are (0,0), (1,1), (2,2), etc. If these points are joined, they will lie on a line passing through the coordinates (0,0). Thus, the statement is true.

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