Question 1

Find the foci of (x^2/16   -   y^2/4 = 1)

Accepted Answer

(4.5, 0) and (-4.5, 0)

Answer

(-4.5, 0) and (4.5, 0)

Answer

(4.75, 0) and (-4.75, 0)

Answer

(5.5, 0) and (-5.5, 0)

Question 2

Find the asymptotic lines of y^2/25 - x^2/9 = 1

Accepted Answer

Answer 1:  y = (5/3)x and y = (-5/3)x

Answer

y = (7/3)x and y = (-7/3)x

Answer

y = (3/5)x and y = (-3/5)x

Answer

y = (7/5)x and y = (-7/5)x

Question 3

Find the vertices of  (y-2)^2/36  -  (x-1)^2/25 = 1

Accepted Answer

Vertices:  (1, 8) and (1, -4)

Answer

Vertices:  (8, 1) and (-4, 1)

Answer

Vertices:  (1, 6) and (1, -8)

Answer

Vertices:  (1, 8) and (1, 6)

Question 4

How do you find the foci on a vertical transverse axis?

Accepted Answer

[(h±c), k]

Answer

[h, (k±c)]

Answer

[(h+c), k]

Answer

[h, (k+c)]

Question 5

Is the point (1,2) a solution to the system of equations: 2x^2 + y^2 + 2x - 4 = 0 and y - x = 1?

Accepted Answer

No

Answer

Yes

Question 6

Write the following equation in standard form x - y - 4x + 4y -1 = 0

Accepted Answer

(x - 2)^2 - (y - 2)^2 = 1

Answer

(y - 2)^2 - (x - 2)^2 = 1

Answer

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

Answer

(x - 4)^2 - (y - 1)^2 = 1

Question 7

Write the following conic section in standard form: x^2 + y^2 - 6x + 8y + 21 = 0

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

Solve
2x^2 + 5y^2 + 14x - 3y - 2 = 0 and 
2x + y - 1 = 0

Accepted Answer

(0,1)

Answer

(1,0)

Answer

(2,0)

Answer

(1,2)

Question 9

Solve
-3x^2+ y^2- 4x- 33y + 39 = 0 and 
x + 2y = 3

Accepted Answer

(3,0) and (1,0)

Answer

(3,1) and (0,0)

Answer

(3,0)

Answer

(0,3) and (1,0)

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