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Coordinates of a point on x-axis equidistant from the points (0, 0) and (2, 0) are
- a)(0, 1)
- b)(1, 1)
- c)(1, 0)
- d)(0, 2)
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Coordinates of a point on x-axis equidistant from the points (0, 0) a...
To find the coordinates of a point on the x-axis that is equidistant from the points (0, 0) and (2, 0), we can use the concept of midpoint. The midpoint of two points is the point that is exactly halfway between them.
Midpoint formula: The midpoint between two points (x1, y1) and (x2, y2) is given by the coordinates ((x1 + x2)/2, (y1 + y2)/2).
In this case, the two points are (0, 0) and (2, 0) which lie on the x-axis.
Let's calculate the midpoint using the formula:
Midpoint = ((0 + 2)/2, (0 + 0)/2)
= (1, 0)
Hence, the midpoint is (1, 0), which is the point on the x-axis equidistant from the points (0, 0) and (2, 0).
Midpoint formula: The midpoint between two points (x1, y1) and (x2, y2) is given by the coordinates ((x1 + x2)/2, (y1 + y2)/2).
In this case, the two points are (0, 0) and (2, 0) which lie on the x-axis.
Let's calculate the midpoint using the formula:
Midpoint = ((0 + 2)/2, (0 + 0)/2)
= (1, 0)
Hence, the midpoint is (1, 0), which is the point on the x-axis equidistant from the points (0, 0) and (2, 0).
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Coordinates of a point on x-axis equidistant from the points (0, 0) a...
Let the coordinates of the required point on x-axis be (x, 0).
According to the given information:
(x - 0)2 = (x - 2)2
x2 = x2 + 4 - 4x
4x = 4
x = 1
Hence, (1, 0) are the coordinates of the required point.
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Coordinates of a point on x-axis equidistant from the points (0, 0) and (2, 0) area)(0, 1)b)(1, 1)c)(1, 0)d)(0, 2)Correct answer is option 'C'. Can you explain this answer?
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