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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. Also explain when to square on both sides?
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. Also explain when to square on both sides?
Most Upvoted Answer
The length of a line segment is of 10 units and the coordinates of one...
Calculating the ordinate of the other end point:
To find the ordinate of the other end point, we can use the distance formula which states that the distance between two points (x1, y1) and (x2, y2) is given by:
\( \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \)
Given that the length of the line segment is 10 units and one end point is at (2, -3) and the abscissa of the other end point is 10, we can substitute these values into the formula:
\( \sqrt{(10 - 2)^2 + (y - (-3))^2} = 10 \)
Solving this equation will give us the ordinate of the other end point.
When to square on both sides:
In mathematics, squaring both sides of an equation is a common technique used to eliminate square roots and make the equation easier to solve. This is especially useful when dealing with equations involving distance or Pythagorean theorem.
When we have an equation involving square roots, squaring both sides allows us to get rid of the square root sign and work with a simpler form of the equation. However, it is important to note that squaring both sides can introduce extraneous solutions, so it should be done with caution.
In this case, squaring both sides of the equation involving the distance formula helps us find the ordinate of the other end point by eliminating the square root sign and allowing us to solve for the unknown variable.
To find the ordinate of the other end point, we can use the distance formula which states that the distance between two points (x1, y1) and (x2, y2) is given by:
\( \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \)
Given that the length of the line segment is 10 units and one end point is at (2, -3) and the abscissa of the other end point is 10, we can substitute these values into the formula:
\( \sqrt{(10 - 2)^2 + (y - (-3))^2} = 10 \)
Solving this equation will give us the ordinate of the other end point.
When to square on both sides:
In mathematics, squaring both sides of an equation is a common technique used to eliminate square roots and make the equation easier to solve. This is especially useful when dealing with equations involving distance or Pythagorean theorem.
When we have an equation involving square roots, squaring both sides allows us to get rid of the square root sign and work with a simpler form of the equation. However, it is important to note that squaring both sides can introduce extraneous solutions, so it should be done with caution.
In this case, squaring both sides of the equation involving the distance formula helps us find the ordinate of the other end point by eliminating the square root sign and allowing us to solve for the unknown variable.
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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. Also explain when to square on both sides?
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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. Also explain when to square on both sides? 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. Also explain when to square on both sides? 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. Also explain when to square on both sides?.
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. Also explain when to square on both sides? 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. Also explain when to square on both sides? 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. Also explain when to square on both sides?.
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