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Fill in the blanks to make the given sta...

Fill in the blanks to make the given statements true.
(i) A point in which the x-coordinate is 0 and y-coordinate is 5 will lie on ________ .
(ii) All points with y-coordinate as 0 lie on ______ .
(iii) The x-coordinate of any point lying on the y-axis is always ______ .
(iv) The point where the two axes intersect is called the ______ .
(v) For the point (5, 2), the distance from the x-axis is _______ units.
(vi) The distance of any point from the y-axis is the _______ coordinate.
(vii) The coordinates of the origin are ______ .

Text Solution

AI Generated Solution

The correct Answer is:
Let's solve the question step by step: ### Step 1: Identify the first statement The first statement is: "A point in which the x-coordinate is 0 and y-coordinate is 5 will lie on ________." **Solution:** A point with an x-coordinate of 0 lies on the y-axis. Therefore, the answer is "the y-axis." ### Step 2: Identify the second statement The second statement is: "All points with y-coordinate as 0 lie on ______." **Solution:** Points with a y-coordinate of 0 lie on the x-axis. Therefore, the answer is "the x-axis." ### Step 3: Identify the third statement The third statement is: "The x-coordinate of any point lying on the y-axis is always ______." **Solution:** Any point on the y-axis has an x-coordinate of 0. Therefore, the answer is "0." ### Step 4: Identify the fourth statement The fourth statement is: "The point where the two axes intersect is called the ______." **Solution:** The intersection of the x-axis and y-axis is called the origin. Therefore, the answer is "origin." ### Step 5: Identify the fifth statement The fifth statement is: "For the point (5, 2), the distance from the x-axis is _______ units." **Solution:** The distance from the x-axis is given by the y-coordinate. For the point (5, 2), the y-coordinate is 2. Therefore, the answer is "2 units." ### Step 6: Identify the sixth statement The sixth statement is: "The distance of any point from the y-axis is the _______ coordinate." **Solution:** The distance from the y-axis is given by the x-coordinate. Therefore, the answer is "x-coordinate." ### Step 7: Identify the seventh statement The seventh statement is: "The coordinates of the origin are ______." **Solution:** The coordinates of the origin are (0, 0). Therefore, the answer is "(0, 0)." ### Final Answers: (i) A point in which the x-coordinate is 0 and y-coordinate is 5 will lie on **the y-axis**. (ii) All points with y-coordinate as 0 lie on **the x-axis**. (iii) The x-coordinate of any point lying on the y-axis is always **0**. (iv) The point where the two axes intersect is called the **origin**. (v) For the point (5, 2), the distance from the x-axis is **2 units**. (vi) The distance of any point from the y-axis is the **x-coordinate**. (vii) The coordinates of the origin are **(0, 0)**.
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