Question
Mathematics Question on Fundamental Theorem of Calculus
Find the centre and radius of x2+y2+6y=0.
A
(A) (0,3),3
B
(B) (−3,0),3
C
(C) (3,0),3
D
(D) (0,−3),3
Answer
(D) (0,−3),3
Explanation
Solution
Explanation:
Given,x2+y2+6y=0⇒x2+y2+6y+9−9=x2+(y+3)2−9=0⇒x2+(y+3)2=9Standard equation of the circle with radius r and centre (h,k) is given by(x−h)2+(y−k)2=r2By comparing, we geth=0,k=−3,r=3∴ Centre=(0,−3), Radius =3Hence, the correct option is (D).