Algebra 2 Chapter 12 section 1-3 Review

Section 1 Review

Q1. The delivery area of a furniture store

extends to the locations (-7,12)and (5,-4)

Write an equation for the delivery area of the store if a line between the locations represents a diameter of the delivery area.

Answer

(𝑥+1 )2+ (𝑦−4 )2=100

Q2.

Graph each equation on a graphing calculator. Identify and describe the conic section

A) B) 1 C) D)

Answer A. Circle with center(0,0) radius 9 B. Hyperbola with center (0,0) C. Parabola D. Ellipse

Q3. Find the center and the radius of a circle

that has a diameter with the given endpoints

A)(-9,-3)and(15,-3) B)(-4,1)and(20,-6)

Answer A. Center(3,-3) r=12 B. Center(8,-2.5) r=12.5

Section 2 Review

Q4 Find the center and the radius of each

circle. A) B)

Answer A. Center (6, 0) r=19 B. Center (4,-6) r=3

Q5. Write the equation of each circle A) center(8,-7) and radius r =14 B)center(3,6) and containing the point

(7,-2) C)diameter with endpoints (2,5) and (8,-

11)

Answer A. B. C.

Q5 Write an equation of the line that is

tangent to the given circle at the given point

A) B)

Answer A. B.y=4

Section3 Review

Q6 Find the center , vertices, co-vertices

and foci of each ellipse. A) B) C)

Answer A. Center(0,0); vertices (0,+-6); Covertices(+_3,0); foci (0,3 B . Center(0,0); co-vertices (0,+-5); vertices(+_8,0); foci ( C. Center(3,-2); vertices (3,6)and (3,-

10); Covertices(10,-2)and (-4,-2); foci (3,-2+

Q7 Find the equation of each ellipse A) co-vertices at (12,0) and (-12,0) and

major axis at length 30. B) vertices at (-8,3) and (4,3)and foci at

(-5,3) and (1,3) C) center (3,5) and , vertex (-10, 5 ) and

focus(8,5).

Answer A. B.

Q8 Find the constant sum for an ellipse with

foci F1(0,-8)and F2 (0,8)and the point on the ellipse (0,10)

Answer 20

Q9 Find the major axis of the equation

Answer 20

Section 4 and section 5 Do problems 27-40 in your book page

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