De La Salle University - Dasmariñas

De La Salle University - Dasmariñas
College of Engineering, Architecture, and Technology

ENGINEERING DEPARTMENT
General Directions:
1. Use recommended pencil only for SHADING.
2. Except for a small dot beside the choices, any other markings (e.g., circle, slash, etc.) found on the questionnaire, will INVALIDATE your answer.
3. No borrowing and exchanging of ANYTHING during the exam. No talking to, looking at, and hearing from anyone or anything except your instructor.
4. Any form of CHEATING would merit a grade of 0.0.
If any of you need wisdom, you should ask God, and it will be given to you. God is generous and won’t correct you for asking.
~ James 1:5 CEV
Multiple Choice. Identify the choice that best completes the statement or answers the question by shading/writing the letter on the
provided answering area.
1. The distance between points (5, 30O) and (-8, -50O) is:
A. 9.84 B. 10.14 C. 6.13 D. 12.14
2. The equation of a line passing through point A(2,3) and parallel to the line 5x – 3y + 8 = 0 is:
A. 5x – 3y = 0 B. 5x – 3y = 1 C. 3x + 5y = 21 D. 3x + 5y = 0
3. 4x^2 – 16 = 0 is the equation of ________ .

A. parabola B. circle C. ellipse D. parallel lines
4. The diameter of a circle described by 9x^2 + 9y^2 = 16 is ________.

A. 8 B. 4 C. 4/3 D. 8/3
5. Find the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1,
3).
A. (1, -1) B. (-1, -1) C. (1, 1) D. (-1,1)
6. The midpoint of the line segment between point A(x, y) and point B(-2, 4) is (2, -1). Find the
coordinate of A.
A. (6, -5) B. (5, -6) C. (6, -6) D. (-6, 6)
7. A hyperbola with major axis 8 and minor axis 6. Find eccentricity.

A. 10/8 B. 5/3 C. 5/4 D. 4/3
8. An ellipse with diameters 14 and 10 respectively, what is the area of the ellipse?
A. 140pi B. 70pi C. 35pi D. 490pi
9. One line passes through the points (1, 9) and (2, 6), another line passes through (3, 3) and
(-1, 5). The acute angle between the two lines is:
A. 30 B. 60 C. 45 D. 135
10. Find the median through (-2, -5) of the triangle whose vertices are (-6,2), (2,-2), and (-2,
-5).
A. 3 B. 4 C. 5 D. 6
11. The semi – transverse axis of the hyperbola (x^2 / 9) – (y^2 / 4) = 1 is :

A. – 3 B. – 2 C. + 2 D. + 3
12. It is a conic section whose discriminant is equal to zero (0).

A. Ellipse B. Parabola C. Hyperbola D. Circle
13. A car headlight reflector is cut by a plane along its axis. The section is a parabola having the
light center at the focus. If the distance of focus from vertex is 3/4 cm and the diameter of
reflector is 10 cm. find its depth.
A. 23/3 B. 25/3 C. 22/3 D. 27/3
14. A line has an equation of x + 5y – 4 = 0. If the line x – ky – 17 = 0 makes an angle of 45

degrees counter-clockwise from the line x + 5y – 4 = 0, find the value of k.
A. 2/3 B. 3/2 C. -2/3 D. -3/2
15. The vertices of a triangle area at A(1,2), B(3,8) and C(8,-1). Locate the point of intersection
of its medians.
A. (3,2) B. (3,4) C. (2,3) D. (4,3)
16. Find the equation of the line that intercepts the x-axis at x=4 and the y-axis at y=-6 is
A. 3x + 2y + 12 = 0 C. 2x + 3y + 12 = 0
B. 3x – 2y – 12 = 0 D. 2x – 3y – 12 = 0
17. Find the equation of the directrix of the parabola y^2 = 16x
A. x = -4 B. x = 4 C. x =-8 D. x = 8
18. Given an ellipse (x^2)/36 + (y^2)/32 = 1. Determine the distance between foci.
A. 3 B. 6 C. 4 D. 8
Page 1 of 2
19. The semi-major axis of an ellipse is 4 and its semi-minor axis is 3. The distance from the
center to the directrix is
A. 6.047 B. 6.532 C. 0.6614 D. 6.222
20. If the points (-2,3), (x,y) and (-3,5) lie on a straight line, then the equation of the line is
A. x -2y – 1 = 0 C. 2x + y – 1 = 0
B. 2x + y + 1 = 0 D. x + 2y + 1 = 0
21. What is the distance in cm between two vertices of a cube which are farthest from each other if
an edge measures 8 cm?
A. 13.86 B. 16.93 C. 12.32 D. 10.66
22. A locus of a point whose difference of the distances from two fixed points is constant.
A. Ellipse B. Parabola C. Hyperbola D. Circle
23. Determine the area enclosed by the curve x^2 – 10x + 4y + y^2 = 196
A. 15 pi B. 225 pi C. 12 pi D. 144 pi
24. Which parabola intersects the x-axis in two distinct points?

A. y=(x+5)2 C. y=x2-25
2
B. y=x +16 D. y=(x-4)2
25. How far apart are the directrices of the curve 25x^2 + 9y^2 – 300x – 144y + 1251 = 0?
A. 12.5 C. 13.2
B. 14.2 D. 15.2
26. What is the equation of the asymptote of the hyperbola x^2 / 9 – y^2 / 4 = 1?
A. 2x -3y = 0 C. 2x – y = 0
B. 3x – 2y = 0 D. 2x + y = 0
27. A parabola with a vertical axis has its vertex at the origin and passes through point (7, 7).
The parabola intersects line y=6 at two points. The length of the segment joining these points
is
A. 14 C. 13
B. 12 D. 8.6
28. Determine the area enclosed by the curve x^2 – 10x + 4y + y^2 = 196
A. 15 pi C. 12 pi
B. 225 pi D. 144 pi
29. Determine the length of the common chord to the circles x^2 + y^2 = 64 and x^2 + y^2 – 16 x = 0
A. 13.86 C. 13.25
B. 12.82 D. 12.28
30. Find the equation of the axis of symmetry of the function y = 2x^2 – 7x + 5.
A. 4x + 7 = 0 C. 4x – 7 = 0
B. x – 2 = 0 D. 7x + 4 = 0
Page 2 of 2

De La Salle University - Dasmariñas

Uploaded by

Copyright:

Available Formats

De La Salle University - Dasmariñas

Uploaded by

Document Information

Original Description:

Original Title

Copyright

Available Formats

Share this document

Share or Embed Document

Sharing Options

Did you find this document useful?

Is this content inappropriate?

Copyright:

Available Formats

De La Salle University - Dasmariñas

Uploaded by

Copyright:

Available Formats

De La Salle University - Dasmariñas

College of Engineering, Architecture, and Technology

3. 4x^2 – 16 = 0 is the equation of ________ .

4. The diameter of a circle described by 9x^2 + 9y^2 = 16 is ________.

7. A hyperbola with major axis 8 and minor axis 6. Find eccentricity.

11. The semi – transverse axis of the hyperbola (x^2 / 9) – (y^2 / 4) = 1 is :

12. It is a conic section whose discriminant is equal to zero (0).

14. A line has an equation of x + 5y – 4 = 0. If the line x – ky – 17 = 0 makes an angle of 45

24. Which parabola intersects the x-axis in two distinct points?

You might also like