find the midpoint of line segment joining (2a,0) and (0,2b)
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Answer:
(a, b) is the mid-point of (2a,0) and (0,2b).
Step-by-step explanation:
Explanation:
Given that, (2a , 0) and (0, 2a)
Formula to find the midpoint of two points,() and ().
⇒( , )
- The midpoint of a line segment is known as the midpoint in geometry.
- It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
From the question we have,
and
Therefore, mid-point of (2a , 0) and (0, 2a),
⇒ ,
⇒ (a, b)
Final answer:
Hence, (a, b) is the mid-point of (2a,0) and (0,2b).
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