Analytic Geometry - Circle

(x-h)²+(y-k)²=r² is called....

• standard equation

• general equation

• extended equation

• symmetric equation

Ax²+By²+Cx+Dx+E=0 is called....

• standard equation

• general equation

• extended equation

• symmetric equation

For a circle, the coefficients for x² and y² should be...

• Equal

• Even

• The same

• Strange

(x-4)²+(y-3)²=12 has centre in...

• (4,3)

• (3,4)

• (-4,-3)

• (-4,3)

(x-4)²+(y-3)²=12 has radius of...

• 12

• $\sqrt{12}$

• 4

• 3

Would you say that this is the equation of a circle?

3x²+6x+3y²=27

• Yes

• No

What features can you obtain from: x²+y²=9

(Select all that apply)

• Centre in (0,0)

• Radius of 3

• Radius of 9

• Parabola

What features can you obtain from: 8(x+5)²+8(y-2)²=32

• Centre in (-5,2)

• Radius of 2

• Radius of 32

• Centre in (5,-2)

Choose the standard equation

• (x-5)²+(y-4)²=9

• (x+5)²+(y-4)²=9

• (x-5)²+(y+4)²=3

• (x-5)²+(y-4)²=3

Convert to standard form

x²+y²+8x-2y-8=0

• (x+4)²+(y-1)²=25

• (x-4)²+(y+1)²=25

• (x+4)²+(y-1)²=8

• (x-4)²+(y+1)²=8