The equation of a circle is x2 + y2 + cx + dy + e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?

C and D will be unaffected while E will increase.

Step-by-step explanation:

Since, Here equation of a circle is,

But we know that the equation of the circle,

( By solving the equation of circle 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 =

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 = )