T3 C5 S1: Equations and Applications of Circles

Recall:

Square of Binomial

Multiple Choice

Which of the following is the correct last term to will complete the equation:

$$\left(x+1\right)^2=x^2+2x+$$  __

• -1

• 1

• -2

• 2

Multiple Choice

Expand: $$\left(y-5\right)^2$$  

• $$y^2-25$$  

• $$y^2+10y+25$$  

• $$y^2-10y+25$$  

• $$y^2+25$$  

Multiple Choice

TRUE or FALSE

$$\left(m+12\right)^2=m^2+24m+144$$  

• TRUE

•  FALSE

• CANNOT BE DETERMINED 

PRACTICE ITEMS:

Equation of Circle in General Form

Multiple Choice

Which of the following equations of circle in

general form has its center at C(3, 4) and radius of 5 units?

• x² + y² + 6x + 8y = 0

• x² + y² + 6x - 8y + 25 = 0

• x² + y² + 6x - 8y - 25 = 0

• x² + y² - 6x - 8y = 0

Multiple Choice

Determine the general form of $$\left(x-5\right)^2+\left(y+3\right)^2=81$$  

• x²+y²+10x+6y-47=0

• x²+y²-10x-6y-47=0
• x²+y²+10x-6y-47=0

• x²+y²-10x+6y-47=0