Courses/63617a Find the equation of the parabola with focus (5, 0) and directrix x=-5. x 20y y2 = 20x 1. x=-20y y2 = -20x C. a. d. b. 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. C. x = -8y x = 8y y2 = 8x a. d. y= -8x b.

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Chapter11: Topics From Analytic Geometry
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cal College- Cosn X
courses/63817/assignments/2016230
Find the equation of the parabola with focus (5, 0) and directrix x= -5.
x =-20y
y2 = -20x
1.
a.
x= 20y
C.
b.
y2 = 20x
d.
Find the equation of the parabola with focus (2, 0) and directrix x=-2.
x = 8y
y = 8x
2.
x = -8y
y= -8x
a.
C.
b.
d.
3.
Write the standard equation for the ellipse with the following conditions:
Foci: (0, 2) and (0, 8)
Vertices: (0, 0) and (0, 10)
*. 0-5)
a. 1
x. 0- 5)
b. 7+
(*-5)
C.
25
(x-5) +=1
ya
4. Write the standard equation for the hyperbola with the following conditions:
Vertices: (-2, -3) and (6, -3)
foci: (-4, -3) and (8, -3)
(x- 2) o+ 3)
20
g-3
(x-2)
C.
0 + 3)
a.
1.
20-16=D1
(X + 2)
d.
O-3)
16=1
b.
5. What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, +4)?
2x + 4y = 0
4x + 3y = 48
8x + 6y = 24
16x + 12y = 1
a.
C.
b.
d.
6. The foci of an ellipse are located at (4, 0) and (-4, 0). The sum of the distances from any point on the ellipse
to the foci is 10. Determine the equation of the ellipse. (Hint: half of 10 will give you the vertices, a)
a. 5 += 1
c. + ३ = 1
b. ş+5= 1
d. 15+25 = 1
7. The foci of an ellipse are located at (0, 6) and (0, -6). The sum of the distances from any point on the ellipse
to the foci is 20. Determine the equation of the ellipse.
a. 36 + = 1
b. 100 + = 1
C. 32 - 100 = 1
d. 3g + 100 = 1
Transcribed Image Text:cal College- Cosn X courses/63817/assignments/2016230 Find the equation of the parabola with focus (5, 0) and directrix x= -5. x =-20y y2 = -20x 1. a. x= 20y C. b. y2 = 20x d. Find the equation of the parabola with focus (2, 0) and directrix x=-2. x = 8y y = 8x 2. x = -8y y= -8x a. C. b. d. 3. Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8) Vertices: (0, 0) and (0, 10) *. 0-5) a. 1 x. 0- 5) b. 7+ (*-5) C. 25 (x-5) +=1 ya 4. Write the standard equation for the hyperbola with the following conditions: Vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (8, -3) (x- 2) o+ 3) 20 g-3 (x-2) C. 0 + 3) a. 1. 20-16=D1 (X + 2) d. O-3) 16=1 b. 5. What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, +4)? 2x + 4y = 0 4x + 3y = 48 8x + 6y = 24 16x + 12y = 1 a. C. b. d. 6. The foci of an ellipse are located at (4, 0) and (-4, 0). The sum of the distances from any point on the ellipse to the foci is 10. Determine the equation of the ellipse. (Hint: half of 10 will give you the vertices, a) a. 5 += 1 c. + ३ = 1 b. ş+5= 1 d. 15+25 = 1 7. The foci of an ellipse are located at (0, 6) and (0, -6). The sum of the distances from any point on the ellipse to the foci is 20. Determine the equation of the ellipse. a. 36 + = 1 b. 100 + = 1 C. 32 - 100 = 1 d. 3g + 100 = 1
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