Correct Answer - Option 2 : x
2+ y
2- 6x- 4y- 36 = 0
Concept:
Equation of circle having centre (h, k) and radius r is
(x – h) 2 + (y – k) 2 = r2
Calculation:
Given, centre of circle ( 3, 2) and radius 7 units
We know that , equation of circle is (x – h) 2 + (y – k) 2 = r2
According to the question, the equation of circle is
( x - 3 )2 + ( y - 2 )2 = 72
⇒ x2+ 9 - 6x + y2+ 4 - 4y = 49
⇒ x2 + y2- 6x - 4y - 36 = 0.
∴ The correct option is 2.