Concept explainers
Points
Answer to Problem 1CT
The length
The mid point of
The point X is
Explanation of Solution
Given: Points
Formula Used:
The distance formula of the pythagorus theorem is used to calculate the length of a line segment when the two co-ordinates are given:
The midpoint of a line segment is the halfway value between the two x co-ordinates and halfway value between the two y co-ordinates.
Calculation:
Given:
Putting the values of respective x and y co-ordinates in the distance equation,
Thus, the length of PQ is
The midpoint of
x-coordinate:
y-coordinate:
Thus, the co ordinates of the midpoint of PQ is
Calculation of the point X such that the P is the midpoint of
Let the x co-ordinate be A and the y co-ordinate be B.
Since, P is the mid point of the line QX, the co-ordinates of P will be used to calculate the values of A and B. Thus,
Again,
Thus, the co-ordinates of X is (
Conclusion:
Hence, the solution is
The length of PQ is
The co ordinates of the midpoint of PQ is
The co-ordinates of X is (
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Algebra and Trigonometry: Structure and Method, Book 2
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