Identify the construction that the figure represents.
1 answer:
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Answer:
(x+1)² + (y-4)² = 10
Step-by-step explanation:
The diameter of a circle has the endpoints at (2,3) and (-4,5).
Therefore, the length of the diameter is given by
= 2
Hence, the radius of the circle is √10.
Now the midpoint of the line joining (2,3) and (-4,5) will be the center of the straight line.
Hence, the center will be at (
Therefore the equation of the circle is
(x+1)² + (y-4)² = (√10)²
⇒ (x+1)² + (y-4)² = 10 (Answer)