If (a, b) is the mid-point of the line segment joining the points A(10, 6) andB(k, 4) and a - 2b = 18. Find the value of k and distance AB.
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Answered by
67
Question
If (a, b) is the mid-point of the line segment joining the points A(10, 6) andB(k, 4) and a - 2b = 18. Find the value of k and distance AB.
Solution
K = 46
Given
The mid point of AB is (a,b)
'a' and 'b' are defined as : a - 2b = 18
Using Mid Point Formula,
Implies,
Also,
Now,
Thus,
Answered by
72
Given: (a, b) is the mid - point of the line segment joining A(10, 6) and B(k, 4); a - 2b = 18.
To find: The value of k and the distance of AB.
Answer:
Formula to find the mid - point:
From the given points,
Using these in the formula,
Using b = 5 in a - 2b = 18,
Now using a = 28 to find k,
Therefore, the points are A(10, 6) and B(6, 4).
Formula to find the distance between two points:
From the points, we have,
Using them in the formula,
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