Answer: C and D will be unaffected while E will increase.
Step-by-step explanation:
Since, Here equation of a circle is, \(x^2 + y^2 + Cx + Dy + E = 0\)
But we know that the equation of the circle,
\(x^2 + y^2 + 2hx +2ky + (h^2+k^2-r^2) = 0\)
( By solving the equation of circle\((x-h)^2+(y-k)^2=r^2\) where (h,k) is the center of the circle and r is the radius of the circle )
By comparing given equation with the above general equation,
We get, C = 2h, D = 2k and E =\((h^2+k^2-r^2)\)
Since, If r decreases C will unaffected ( because C is free from r)
D will unaffected ( because D is also free from r)
But If r decreases E will increases. ( because E =\((h^2+k^2-r^2)\) )