Which equation represents a circle with the same center as the circle shown but with a radius of 2 units? (x – 4)2 + (y – 5)2 = 2 (x – 4)2 + (y – 5)2 = 4 (x – 5)2 + (y – 4)2 = 2 (x – 5)2 + (y – 4)2 = 4

Option 2nd is correct

Step-by-step explanation:

The equation of circle with center (h, k) and radius r units is given by:

          .....[1]

As per the statement:

A circle is show in the figure with a radius of 2 units.

units

You can see the figure, the center of the circle is given as:

Center = (4, 5)

⇒h = 4 and k = 5

Substitute the given values in [1] we have;

⇒  

Therefore, the equation represents a circle with the same center as the circle shown but with a radius of 2 units is,  

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