Precalculus: Exam Part 1

What is common among parabola, ellipse, and hyperbola?

• Vertex

• Center

• Radius

• directrix

 $\left(\frac{x-2}{3}\right)^2+\left(\frac{y-3}{4}\right)^2=1$   is an example of a standard equation of ____.

• Circle

• Parabola

• Hyperbola

• Ellipse

 $3x^2+3y^2+4x-7y=30$  is an example of a general equation of a ____.

• Circle

• Parabola

• Ellipse

• Hyperbola

 $\left(x-2\right)^2+\left(y-1\right)^2=4$ is a conic section specifically  circle with radius of ___

• 16

• 8

• 4

• 2

 $\left(x-3\right)^2+\left(y-2\right)^2=16$  is a circle with a center located at ____.

• (3, -2)

• (-3,-2)

• (3,2)

• (-3, 2)

How long is the diameter of the circle with endpoints (3,0), and (-3, 0)?

• 3

• 4

• 5

• 6

Determine the center of the circle where the longest chord has endpoints (3,0) and (5, 4).

• (4, 2)

• (3,4)

• (2, 4)

• (5, 0)

The perpendicular bisector's main duty is to divide the segment into two equal parts and make ____.

• The foot of the intersection is a right angle.

• It always passes through the center.

• The product of the slopes is -1.

• A chord is bisected.

The perpendicular bisector of a chord ____ passes through the center of the circle.

• Sometimes

• Always

• never

• Oftentimes

What is the slope of the perpendicular bisector of the chord AB where A (0, 2) and B( 3, 8)?

• 1/2

• -2

• 2

• -1/2