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Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).?
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Find the centre of the circle passing through A (6, -6), B (3, -7) and...
Given Points:
- A (6, -6)
- B (3, -7)
- C (3, -3)
Finding the Center of the Circle:
1. Step 1: Calculating the Midpoints of AB and BC
- Midpoint of AB: ((6+3)/2, (-6-7)/2) = (4.5, -6.5)
- Midpoint of BC: ((3+3)/2, (-7-3)/2) = (3, -5)
2. Step 2: Calculating the Slopes of AB and BC
- Slope of AB: (-6-(-7))/(6-3) = 1/3
- Slope of BC: (-3-(-7))/(3-3) = 4
3. Step 3: Calculating the Perpendicular Bisectors of AB and BC
- Perpendicular Bisector of AB: y = (1/3)x - 7
- Perpendicular Bisector of BC: x = 3
4. Step 4: Finding the Intersection Point of Perpendicular Bisectors
- Solving the equations y = (1/3)x - 7 and x = 3, we get x = 3, y = -6
- The intersection point is (3, -6)
5. Step 5: Conclusion - Center of the Circle
- The center of the circle passing through points A, B, and C is at (3, -6)
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Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).?
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Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).?.
Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the centre of the circle passing through A (6, -6), B (3, -7) and C (3, -3).?.
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