Question

Choose the correct conic section to fit the equation.

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

Circle

Ellipse

O Parabola

Hyperbola

Answer 1

Option A) Circle.

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 = √(25) = 5`

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