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If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0?
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If the point p( x,y) is situated on a circle whose centre is (3,-2) an...
Given Information:
- Center of the circle: (3, -2)
- Radius of the circle: 3
- Point on the circle: P(x, y)
Derivation:
- The general equation of a circle is given by: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
- Substituting the given values, we get: (x - 3)^2 + (y + 2)^2 = 3^2
- Expanding and simplifying, we get: x^2 - 6x + 9 + y^2 + 4y + 4 = 9
- Rearranging terms, we get: x^2 + y^2 - 6x + 4y + 4 = 0
Conclusion:
- Therefore, the equation x^2 + y^2 - 6x + 4y + 4 = 0 represents a circle with center (3, -2) and radius 3, and the point P(x, y) lies on this circle.
- Center of the circle: (3, -2)
- Radius of the circle: 3
- Point on the circle: P(x, y)
Derivation:
- The general equation of a circle is given by: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
- Substituting the given values, we get: (x - 3)^2 + (y + 2)^2 = 3^2
- Expanding and simplifying, we get: x^2 - 6x + 9 + y^2 + 4y + 4 = 9
- Rearranging terms, we get: x^2 + y^2 - 6x + 4y + 4 = 0
Conclusion:
- Therefore, the equation x^2 + y^2 - 6x + 4y + 4 = 0 represents a circle with center (3, -2) and radius 3, and the point P(x, y) lies on this circle.
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If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0?
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If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0?.
If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the point p( x,y) is situated on a circle whose centre is (3,-2) and whose radius is 3 . then probe that x square + y square- 6x + 4y+ 4= 0?.
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