UPSC Exam > UPSC Questions > If the point p( x,y) is situated on a circle ...
Start Learning for Free
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?
Most Upvoted Answer
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.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup