The question given below is a Math problem in Coordinate Geometry and requires using the distance formula to determine the locus of a point.
What is the equation of a circle of radius 6 units centered at (3, 2)?
- x2 + y2 + 6x - 4y = 23
- x2 + y2 - 6x + 4y = 23
- x2 + y2 + 6x + 4y = 23
- x2 + y2 - 6x - 4y = -23
- x2 + y2 - 6x - 4y = 23
The correct choice is (E) and the correct answer is x2 + y2 - 6x - 4y = 23
Equation of a circle with center (a, b) and radius 'r' units is (x - a)2
+ (y - b)2
Therefore, the equation of this circle = (x - 3)2
+ (y - 2)2
- 6x + 9 + y2
- 4y + 4 = 36
- 6x - 4y = 23