Algebra II : 8. QUADRATIC RELATIONS AND SYSTEMS Q+T

Quiz 1

CONICS AND THE COORDINATE PLANE

The distance between the points (2, 8) and (4, 7) is

√5

The distance between the points (5, -2) and (-7, 3) is

13

The distance between the points (4, 1) and (9, 1) is

5

Find the length of the line segment that joins the points (2, 5) and (9, 8).

√58

The distance between the points (3, 3) and (7, 3) is

4

The center of the circle whose equation is (x + 1)² + (y + 2)² = 49 is

(-1, -2)

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is

4

The equation of the circle whose center is at (2, 1) and radius is 3 is

(x - 2)² + (y - 1)² = 9

The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is

6

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is

(-2, 3)

The distance from the center to the major intercept is

7

The major intercepts are at

(±9, 0)

The minor intercepts are at

(0, ±2)

How far from the center are the foci located?

√13

The foci are located at

(0, 6) and (0, -6)

Write the equation of the given circle.

center (3, 3)radius of 2

(x-3)^2 + (y-3)^2 = 4

Write the equation of the given circle.

center (-2, -2)radius of 6

(x+2)^2 + (y+2)^2 = 36

Write the equation of the given circle.

center (1, -5)radius of 10

(x-1)^2 + (y+5)^2 = 100