Question

Choose the correct conic section to fit the equation.

Answer 1

Answer:

Option A) Circle.

Step-by-step explanation:

We are given the equation:

$(x - 3)^2 + (y - 12)^2 = 25$

A general equation of the circle is of the form:

$(x-h)^2 + (y-k)^2 = r^2$

where (h,k) is the center of the circle and r is the radius of circle.

Comparing the two equations, we get,

$(h,k) = (3,12)\\r = \sqrt{25} = 5$

Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.