Question

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? A. C, D, and E are unchanged. B. C increases, but D and E are unchanged. C. C and D decrease, but E is unchanged. D. C, D, and E increase. E. C and D are unchanged, but E increases.

Answer 1

Answer: E

Explanation:

Answer 2

Option E

Explanation:

The standard equation of circle is:- (x-h)² + (y-k)² = r²

where (h,k) is center point and r is radius

If radius r is decreased then also (h,k) remains same, only r² increases

Equation given in question is x² + y² + Cx + Dx + E=0

So, C and D will remain same but E will increase