The center of a circle represented by the equation (x+9)^2 + (y-6)^2 =10^2 is what
A. (-9,6)
B. (-6,9)
C. (6,-9)
D. (9,-6)

Respuesta :

Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 10² is in this form

with centre = (- 9, 6) → A


The center of a circle represented by the equation (x+9)² + (y-6)² =10² is  (- 9, 6)  , Option A is the correct answer

What is a Circle ?

A circle is a round shaped figure which has all the point in one plane and and equidistant from a single point known as center.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center and r is the radius

The equation of a circle is given

(x + 9)² + (y - 6)² = 10²

Therefore here h = -9  and k =6

The center of a circle represented by the equation (x+9)² + (y-6)² =10² is  (- 9, 6)  , Option A is the correct answer.

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