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Question 12 Marks
Decide which of the following statements is true and which is false. Give reasons for your answer. The coordinates of the origin are $(0, 0).$
Answer
The origin divides each of these axes into a positive and a negative semi-axis. The coordinates of the origin are always are zero, i.e. $(0, 0).$ Thus, the statement is true.
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Question 22 Marks
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
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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