Question

The general form of the Quetion of a circle is ax^2+by^2+cx+dy+e=0 where a=b=0 If the circle has a radius of three units and the center lies on the Y axis Which set of values of a, B, C, D, and E Might correspond to the circle

Answer 1

Answer:

a =1 ,b =1 ,c =0 , d =-2k  and e =$k^{2} -9$

Step-by-step explanation:

Equation of circle with radius 3 units and center on Y axis is always of the form

$(x-0)^2+ (y-k)^2 = r^2$

where  r = 3

on simplifying it we get

$x^{2} +y^{2} -2yk+k^{2} =9$

$x^{2} +y^{2} -2yk+k^{2} -9$=0

on comparing it with given general equation we get

a =1 ,b =1 ,c =0 , d =-2k  and e =$k^{2} -9$

where k can be any real number

Answer 2

Answer:

Option C

Step-by-step explanation:

C. A = 1, B = 1, C = 0, D = -8, and E = 7