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The length of a line segment is of
10
units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is
10, find the ordinate of the other end.?
10
units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is
10, find the ordinate of the other end.?
Most Upvoted Answer
The length of a line segment is of 10 units and the coordinates of one...
Given information:
- Length of line segment = 10 units
- Coordinates of one end-point = (2, -3)
- Abscissa of the other end = 10
Finding the ordinate of the other end:
- Let the coordinates of the other end-point be (10, y).
- Using the distance formula, we can find the distance between the two points:
- Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
- Given distance = 10 units
- Substitute the values of the given point (2, -3) and the other point (10, y) into the formula.
- 10 = √[(10 - 2)^2 + (y - (-3))^2]
- 10 = √[8^2 + (y + 3)^2]
- 100 = 64 + (y + 3)^2
- (y + 3)^2 = 36
- y + 3 = ±6
- y = -3 ± 6
- Two possible values of y are obtained from the above equation.
- y = -3 + 6 = 3 or y = -3 - 6 = -9
Therefore, the ordinate of the other end can be either 3 or -9.
- Length of line segment = 10 units
- Coordinates of one end-point = (2, -3)
- Abscissa of the other end = 10
Finding the ordinate of the other end:
- Let the coordinates of the other end-point be (10, y).
- Using the distance formula, we can find the distance between the two points:
- Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
- Given distance = 10 units
- Substitute the values of the given point (2, -3) and the other point (10, y) into the formula.
- 10 = √[(10 - 2)^2 + (y - (-3))^2]
- 10 = √[8^2 + (y + 3)^2]
- 100 = 64 + (y + 3)^2
- (y + 3)^2 = 36
- y + 3 = ±6
- y = -3 ± 6
- Two possible values of y are obtained from the above equation.
- y = -3 + 6 = 3 or y = -3 - 6 = -9
Therefore, the ordinate of the other end can be either 3 or -9.
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The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.?
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The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.?.
The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a line segment is of 10 units and the coordinates of one-end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.?.
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