Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

Question

2 years ago

7

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

cle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Mathematics

1 answer:

Anna [14] · Answer 1 · 2023-09-14T23:53:06+03:00

Anna [14]2 years ago

3 0

Equation of circle is (x-h)²+(y-k)²=r²

x²+y²-2x-8=0
x²-2x-8+y²=0
x²-2x+1-9+y²=0
(x-1)²+y²-9=0
(x-1)²+(y-0)²=9
(x-1)²+(y-0)²=3²

Radius=3

Centre (1,0)

Centre lies on x axis

Option A and D are correct