Name: ____________________________________________
Direction: Write the letter of your choice in the space provided.
___ 1. How far from the y-axis is the center of the curve 2x2 +
2y2 + 10x โ 6y โ 55 = 0?
a. โ3 c. 13/4
b. 11/4 d. -5/2
___ 2. The distance from a point (1,3) to the line 4x + 3y + 12 =
0 is
a. 4 units c. 6 units
b. 5 units d. 7 units
___ 3. Determine the area enclosed by the circle x 2 + y2 โ 10x +
4y = 196.
a. 15๏ฐc. 12๏ฐ
b. 225๏ฐd. 144๏ฐ
___ 4. What is the slope of the line 3x + 2y + 1 = 0?
a. 3/2 c. โ3/2
b. 2/3 d. โ2/3
___ 5. If (3,-2) lies on a circle with center (-1, 1), then the radius
of the circle is
a. 5 c. 4
b. 25 d. 3
___ 6. Find the equation of a straight line with a slope of 3 and a
y-intercept of 1.
a. 3x + y โ 1 = 0
b. 3x โ y + 1 = 0
c. x + 3y + 1 = 0
d. x โ 3y โ 1 = 0
___ 7. The vertex of the parabola y2 โ 2x + 6y + 3 = 0 is at
a. (-3,3) c. (3,-3)
b. (3,3) d. (-3,-3)
___ 8. The equation of a line that intersects the x-axis at x = 4
and the y-axis at y = โ 6 is
a. 3x + 2y = 12
b. 2x โ 3y = 12
c. 3x โ 2y = 12
d. 2x โ 3y = 12
___ 9. Find the equation of the line passing through the origin
and with a slope of 6.
a. y โ 6x = 0 c. x + y = -6
b. y = -6 d. 6x + y = 0
___ 10. The length of the latus rectum of the parabola y2 โ 8x โ
4y โ 20 = 0.
a. 2 c. 6
b. 4 d. 8
___ 11. What is the equation of the line joining the points (3,-2)
and (-7,6)?
a. 2x + 3y = 0 c. 4x + 5y = 2
b. 4x โ 5y = 22 d. 5x + 4y = 7
___ 12. The parabola y = -x2 + x + 1 opens
a. to the right c. upward
b. to the left d. downward
___ 13. Find the equation of the parabola with vertex at (4,3) and focus
at (4,-1).
a. y2 โ 8x + 16y โ 32 = 0
b. x2 + 8x - 16y + 32 = 0
b. y2 + 8x - 16y โ 32 = 0
d. x2 โ 8x + 16y โ 32 = 0
___ 14. The axis of the hyperbola that passes through the vertices and
the center is called the
a. conjugate axis
b. major axis
c. minor axis
d. transverse axis
___ 15. A conic section whose eccentricity is less than one is
a. a parabola c. a circle
b. an ellipse d. a hyperbola
___16. If the radius of a right circular cylinder is tripled, by what
percent is the volume of the cylinder increased maintaining
the same height?
a. 200% c. 400%
b. 300% d. 900%
___17. The diameter of two spheres are in the ratio of 2:3 and the
sum of their volumes is 1260 m3. Find the volume of the larger sphere
in m3.
a. 827 c. 729
b. 972 d. 592
___18. What is the volume of a right circular cylinder inscribed in a
cube of edge 10 cm.?
a. 200ฯ cm3 c. 250ฯ cm3
b. 230ฯ cm3d. 300ฯ cm3
___19. A conical vessel has a height of 24 cm. and a base diameter
of 12 cm. It holds water to a depth of 18 cm. above its
vertex. Find the volume of its content in cm3.
a. 381.70 c. 412.60
b. 298.40 d. 188.40
___20. A circular piece of cardboard with a diameter of one meter
will be made into a conical hat 40 cm. high by cutting a sector
off and joining the edges to form a cone. Determine the
central angle of the sector removed.
a. 160oc. 125o
b. 144od. 177o
ANSWER KEY: from Sir Kaimo
1. d 11. c
1
