Question

The length of the diameter of the circle x^2+y^2-8x-6y=0 is a) 5 b) 10 c) 25 d) 20

Answer 1

Answer:

b). 10

Step-by-step explanation:

Equation of a circle in standard form is

(x - h)² + (y - k)² = r²

Let write a perfect square trinomials for "x" and for "y"

(x² - 2×4x + 16) + (y² - 2×3y + 9) - 16 - 9 = 0

(x - 4)² + (y - 3)² = 5² ===> The radius is 5 and diameter is 10