Daily Exam 8 – Analytic Geometry 2

Find the location of the vertex of the hyperbola 16x² -9y² – 128x – 90y – 113 = 0.

(1, 5) and (7, 5)

Correct Incorrect Correct answer

(1, -5) and (7, -5)

Correct Incorrect Correct answer

(-1, -5) and (-7, 5)

Correct Incorrect Correct answer

(-1, -5) and (7, 5)

Correct Incorrect Correct answer

Compute the length of the latus rectum of the hyperbola 9x² – 4y² + 90x + 189 = 0.

9

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

A satellite orbits around the earth in an elliptical path of eccentricity 0.60 and a semi-minor axis length 12000 miles. If the center of the earth is at one foci, find the maximum altitude of the satellite.

24000

Correct Incorrect Correct answer

36000

Correct Incorrect Correct answer

26000

Correct Incorrect Correct answer

28000

Correct Incorrect Correct answer

Find the directrix of the parabola x² + 2x + 12y + 37 = 0.

y = 0

Correct Incorrect Correct answer

y = 1

Correct Incorrect Correct answer

x = 0

Correct Incorrect Correct answer

x = 1

Correct Incorrect Correct answer

Find the equation of a parabola having its directrix of y = 7 and its vertex at (2, 6).

x² – 2x + 3y – 18 = 0

Correct Incorrect Correct answer

y² – 4x + 4y – 20 = 0

Correct Incorrect Correct answer

y² – 2y + 4x – 20 = 0

Correct Incorrect Correct answer

y² + 4y + 2x – 18 = 0

Correct Incorrect Correct answer

Find the equation of the parabola with vertex at (5, -2) and focus at (5, -4).

x² – 10x + 8y + 41 = 0

Correct Incorrect Correct answer

x² – 5x + 6y + 45 = 0

Correct Incorrect Correct answer

x² – 8x + 4y + 36 = 0

Correct Incorrect Correct answer

x² – 12x + 10y + 40 = 0

Correct Incorrect Correct answer

Find the focus of the parabola (x + 2)² = -16(y – 3)

(-2, 1)

Correct Incorrect Correct answer

(2, 1)

Correct Incorrect Correct answer

(-2, -1)

Correct Incorrect Correct answer

(1, 2)

Correct Incorrect Correct answer

Find the equation of a circle having (10, 2) and (6, -4) as ends of a diameter.

x² + y² – 16x + 2y + 52 = 0

Correct Incorrect Correct answer

x² + y² – 2y + 6x – 48 = 0

Correct Incorrect Correct answer

x² + y² – 8x + 4y – 64 = 0

Correct Incorrect Correct answer

x² + y² + 12x – 8y + 54 = 0

Correct Incorrect Correct answer

A circle has its certer at (-4, 2) and is tangent to the line 3x + 4y – 5 = 0. What is the radius of the circle?

9/5

Correct Incorrect Correct answer

7/5

Correct Incorrect Correct answer

6/5

Correct Incorrect Correct answer

8/5

Correct Incorrect Correct answer

Two circles has an equation of x² + y² – 10x — 4y – 196 = 0 and x² + y² – 6y = 0. Determine the ratio of perimeter of the first and the second circle.

3

Correct Incorrect Correct answer

10

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

Find the equation of the circle circum. Find the equation of the circle tangent to the line 3x + 4y = 15 and the center is at (-3, -4).

(x + 3)² + (y + 4)² = 64

Correct Incorrect Correct answer

(x + 5)² + (y – 4)² = 64

Correct Incorrect Correct answer

(x – 3)² + (y – 4)² = 64

Correct Incorrect Correct answer

(x + 3) + (y + 4) = 64

Correct Incorrect Correct answer

Compute the length of the latus rectum of an ellipse having the ends of major axis at (-9, 4) and (3, 4) and passing through the point (-3, 8).

16/3

Correct Incorrect Correct answer

17/3

Correct Incorrect Correct answer

19/3

Correct Incorrect Correct answer

20/3

Correct Incorrect Correct answer

Find the eccentricity of the curve 16x² – 9y² – 128x – 90y – 113 = 0.

1.67

Correct Incorrect Correct answer

3.10

Correct Incorrect Correct answer

4.01

Correct Incorrect Correct answer

5.76

Correct Incorrect Correct answer

Find the eccentricity of a hyperbola whose transverse and Conjugate axes are equal in length.

√2

Correct Incorrect Correct answer

√3

Correct Incorrect Correct answer

1.86

Correct Incorrect Correct answer

1.72

Correct Incorrect Correct answer

Find the equation of the circle circumference scribing a triangle whose vertices are at (0, 0), (0, 5) and (3, 3).

x² + y² – x – 5y = 0

Correct Incorrect Correct answer

x + y – x – 4y = 0

Correct Incorrect Correct answer

2x + y² – 2x – 3y = 0

Correct Incorrect Correct answer

x + y² – 2x – 6y = 0

Correct Incorrect Correct answer

A triangle has its side having equations equal to x + 2y – 5 = 0, 2x – y – 10 = 0 and 2x + y + 2 = 0. Find the equation of the circle inscribed in the triangle.

(x – 2)² + (y – 1)² = 5

Correct Incorrect Correct answer

(x – 1)² + (y + 1)² = 5

Correct Incorrect Correct answer

(x + 1)² + (y – 1)² = 5

Correct Incorrect Correct answer

(x – 1) + (y – 1) = 5

Correct Incorrect Correct answer

Find the distance of the center of the circle 2x² – 8x + 2y² + 12y = 1 from the x and y axes.

(-2, 3)

Correct Incorrect Correct answer

(2, 3)

Correct Incorrect Correct answer

(2, -3)

Correct Incorrect Correct answer

(-2, -3)

Correct Incorrect Correct answer

Find the equation of the lines through point (3, 1) that is perpendicular to the line x + 5y = 0.

5x – y – 14 = 0

Correct Incorrect Correct answer

4x + 5y – 12 = 0

Correct Incorrect Correct answer

4x – 5y – 12 = 0

Correct Incorrect Correct answer

4x – 3y – 12 = 0

Correct Incorrect Correct answer

Find the distance between the given lines 4x – 3y = 12 and 4x – 3y = -8.

4

Correct Incorrect Correct answer

10

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

Find the area of the polygon whose vertices are at (2, -6), (4, 0), (-3, 2) and (-3, 3).

45.2

Correct Incorrect Correct answer

55.3

Correct Incorrect Correct answer

47.5

Correct Incorrect Correct answer

57.4

Correct Incorrect Correct answer

Pos.	Name	Entered on	Points	Result
Table is loading
No data available

Daily Exam 8 – Analytic Geometry 2

Quiz Summary

Information

Results

Results

Categories

1. Question

2. Question

3. Question

4. Question

5. Question

6. Question

7. Question

8. Question

9. Question

10. Question

11. Question

12. Question

13. Question

14. Question

15. Question

16. Question

17. Question

18. Question

19. Question

20. Question

Leave a Comment Cancel reply