Question:
If the coordinates at one end of a diameter of the circle \( x^2 + y^2 - 8x - 4y + c = 0 \) are \( (-3, -2) \), then the coordinates at the other end are:
If the coordinates at one end of a diameter of the circle \( x^2 + y^2 - 8x - 4y + c = 0 \) are \( (-3, -2) \), then the coordinates at the other end are:
Show Hint
To find the other end of the diameter, use the midpoint formula for a circle's equation.
Updated On: Jan 12, 2026
- \( (5, 3) \)
- \( (6, 2) \)
- \( (6, -1) \)
- \( (11, 2) \)
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The Correct Option is A
Solution and Explanation
Using the midpoint formula, the center of the circle is the midpoint of the two ends of the diameter. By substituting the known point \( (-3, -2) \), we can find the coordinates of the other end of the diameter.
Final Answer: \[ \boxed{(5, 3)} \]
Final Answer: \[ \boxed{(5, 3)} \]
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