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The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2, -5). Find the centre of the circle.
  • a)
    (-3, 1)
  • b)
    (1, -3)
  • c)
    (0, -3)
  • d)
    (-3, 0)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2...
Ends of diameter of circle are (4, -1) and (-2, -5)
centre = Mid-point of (4, -1) and (-2, -5)
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The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2...

Given:
- Co-ordinates of the ends of a diameter of a circle: (4, -1) and (-2, -5)

To find:
- Centre of the circle

Steps to Find the Centre of the Circle:

1. Midpoint Formula:
- The centre of a circle lies at the midpoint of its diameter.
- The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

2. Applying the Midpoint Formula:
- Given endpoints: (4, -1) and (-2, -5)
- Let these be (x1, y1) and (x2, y2) respectively
- Using the midpoint formula:
Centre = ((4 + (-2)) / 2, (-1 + (-5)) / 2)
= (2 / 2, -6 / 2)
= (1, -3)

3. Conclusion:
- Therefore, the centre of the circle is at the point (1, -3).

Correct Answer:
- b) (1, -3)
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The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2, -5). Find the centre of the circle.a)(-3, 1)b)(1, -3)c)(0, -3)d)(-3, 0)Correct answer is option 'B'. Can you explain this answer? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2, -5). Find the centre of the circle.a)(-3, 1)b)(1, -3)c)(0, -3)d)(-3, 0)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The co-ordinates of ends of a diameter of a circle are (4, -1) and (-2, -5). Find the centre of the circle.a)(-3, 1)b)(1, -3)c)(0, -3)d)(-3, 0)Correct answer is option 'B'. Can you explain this answer?.
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