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First Periodical Test in Pre-Calculus

Quiz by Jocelyn S. Miranda

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50 questions
Show answers
  • 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

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