# 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}=r^{2}(x+h)

^{2}+(y+k)^{2}=r(x-h)

^{2}+(y-k)^{2}=r(x+h)

^{2}+(y+k)^{2}=r^{2}30s - Q4
What is the general equation of the circle whose center is at the origin and the radius is 4?

x

^{2}-^{ }y^{2}=16x

^{2 }+ y^{2}=16x

^{2 }- y^{2}=4x

^{2 }+ y^{2}=445s - 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}=945s - 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 x^{2 }+ y^{2 }+ 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}=16120s - 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 x

^{2}= -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 y

^{2}=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)?y

^{2 }+^{ }4x - 12y + 28 =0y

^{2 }+^{ }4x + 12y + 28 =0y

^{2 }- 4x + 12y + 28 =0y

^{2 }- 4x - 12y + 28 =0120s - Q15
What is x

^{2}– 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