First Periodical Test in Pre-Calculus
Quiz by Jocelyn S. Miranda
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- Q1
What is the intersection of a double napped rightcircular cone and a plane and does not pass through the vertex of the cone?
Degenerate Conics
Circle
Conic Section
Parabola
30s - Q2
Which of the following is the fixed point of the circle?
directrix
focus
radius
center
30s - Q3
Which is the standard equation of a circle?
(x-h)2+(y-k)2=r2
(x+h)2+(y+k)2=r
(x-h)2+(y-k)2=r
(x+h)2+(y+k)2=r2
30s - Q4
What is the general equation of the circle whose center is at the origin and the radius is 4?
x2- y2=16
x2 + y2=16
x2 - y2=4
x2 + y2=4
45s - Q5
What is the equation of the circle with center at (2, 1) and radius of 3 units?
(x+1)2 + (y+2)2=3
(x-1)2 + (y-2)2=3
(x+2)2 + (y+1)2=9
(x-2)2 + (y-1)2=9
45s - Q6
In the equation (x+1)2 +(y-2)2= 16, what are the coordinates of the center the circle?
(1, 2)
(-1, -2)
(1, -2)
(-1, 2)
30s - Q7
For items 7to 10, given the general equation of the circle x2 + y2 + 6x + 4y -3=0, what are the coordinates of the center?
(-3, 2)
(3, -2)
(3, 2)
(-3 , -2)
60s - Q8
What is the radius?
3
4
2
16
30s - Q9
What is the standard equation?
(x+3)2+(y+2)2=16
(x-3)2+(y-2)2=16
(x+3)2+(y+2)2=4
(x-3)2+(y-2)2=16
120s - Q10
What is the length of the diameter?
2
4
16
8
30s - Q11
What is the set of all points in a plane equidistant from a fixed point and a fixed line in a plane?
Circle
Hyperbola
Parabola
Ellipse
20s - Q12
If the standard equation of the parabola is in the form x2= -4cy, where does it open?
upward
to the left
downward
to the right
45s - Q13
What is the vertex of the parabola whose equation is y2=16(x-2)
(0, 2)
(-2, 0)
(0, -2)
(2, 0)
45s - Q14
Which of the following is the general form of the equation (y – 6)2 = 4(x+ 2)?
y2 + 4x - 12y + 28 =0
y2 + 4x + 12y + 28 =0
y2 - 4x + 12y + 28 =0
y2 - 4x - 12y + 28 =0
120s - Q15
What is x2 – 2x – 4y + 13 = 0 in standard form?
(x– 1)2 = 4(y + 3)
(x + 1)2 = 4(y - 3)
(x + 1)2 = 4(y + 3)
(x – 1)2 =4(y - 3)
120s