PRECALCULUS VIRTUAL ACTIVITY 1 (STEM1)

Which of the following is NOT an example of degenerate cases?

• Conics

• Point

• Line

• Intersecting lines

A curve formed by intersecting a plane into a double cone at an angle other than 90⁰.

• Parabola

• Hyperbola

• Circle

• Ellipse

Write the standard equation of the circle whose center is (-5,4) with a radius of  $\frac{1}{2}$  

•  $(𝑥-5)^2+(𝑦+4)^2=\frac{\text{1}}{\text{4}}\$  

•  $(𝑥+5)^2+(𝑦−4)^2=\frac{\text{1}}{\text{4}}\$  

•  $(𝑥+5)^2+(𝑦−4)^2=\frac{\text{1}}{\text{2}}\$  

•  $(𝑥-5)^2+(𝑦+4)^2=\frac{\text{1}}{\text{2}}\$  

Find the center and the radius of the equation  $𝑥^2+𝑦^2=36$  

•  $𝑐(0,0)\ 𝑟=6$  

•  $𝑐(0,0)\ 𝑟=36$  

•  $𝑐(0,0)\ \ 𝑟=18$  

•  $𝑐(0,0)\ 𝑟=1296$  

Find the equation of the circle whose center is C(5,9) and one of its diameter's endpoints is (0,0).

(Requires Solution)

• $(𝑥−5)^2+(𝑦−9)^2=\sqrt{106}$

• $(𝑥+5)^2+(𝑦+9)^2=106$

• $(𝑥−5)^2+(𝑦−9)^2=106$

• $(𝑥+5)^2+(𝑦+9)^2=\sqrt{106}$

 Find the center and radius of the circle below
 $𝑥^2+𝑦^2+24𝑥+10𝑦=-160$ 
(Requires Solution)

•  $C\left(12,\ 5\right)\ r=3$  

•  $C\left(-12,\ -5\right)\ r=9$  

•  $C\left(12,\ 5\right)\ r=9$  

•  $C\left(-12,\ -5\right)\ r=3$  

It is the line that divides a circle into two equal parts.

• radius

• diameter

• center

• plane

Find the radius of the circle whose endpoints of its diameter are (7, - 2) and (- 1, - 6).

(Requires Solution)

• 8.94

• 17.88

• 79.92

• 4.23

Find the standard equation of the circle given its graph.

• $(𝑥−2)^2+(𝑦+3)^2=9$

• $(𝑥−2)^2+(𝑦+3)^2=3$

• $(𝑥+2)^2+(𝑦-3)^2=9$

• $(𝑥+2)^2+(𝑦-3)^2=3$

Find the EPVD and EPHD of the circle whose equation is

 $x^2+y^2=9$  
(Requires Solution)

•  $EPVD:\ (3,0),(−3,0)\ EPHD:(0,3),(0,−3)$  

•  $EPVD:(9,0),(−9,0)\ EPHD:\ (0,9),(0,−9)$  

•  $EPVD:(0,9),(0,−9)\ EPHD:(9,0),(−9,0)$  

•  $EPVD:(0,3),(0,−3)\ EPHD:(3,0),(−3,0)$