Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:(c)
Step-by-step explanation:
Given
the radius of circle=10 units
The center is 5 units below the origin i.e. (0,-5) is the center
The general equation of a circle is
[tex](x-a)^2+(y-b)^2=r^2\quad [\text{Where, (a,b) is the center of the circle and r is radius}][/tex]
Putting values
[tex](x-0)^2+(y-(-5))^2=10^2\\(x)^2+(y+5)^2=100[/tex]
Second last option is correct
