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Math 10_Q2-Mod.8: The Equation of A Circle

Quiz by Dona Aquino

Grade 10
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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10 questions
Show answers
  • Q1

    1.      In the equation (x -5)2 + (y -3)2 = 6, the radius is _____.

    16

    6

    \sqrt{6}

    36

    30s
    M10GE-IIh-1
  • Q2

    2.     The center and radius of the equation (x +5)2 + (y -3)2 = 36 is _____.

    ( -5, 3), r= 6

    (5, 3), r= 36

    (5, -3), r= 36

    ( -5,3) , r= 6

    30s
  • Q3

    3.     What is the equation of a circle with radius 5 and a center (3, 4)?

    (x -3)2 + (y -4)2 = 25

    (x -3)2 + (y -4)2 = 5 

    (x -3)2 + (y +4)2 = 25   

    (x -3)2 + (y +4)2 = 5 

    30s
  • Q4

    4.     Which of the following is the equation of the circle with diameter 28 and      center (-3, -5)?

    (x -5)2 + (y -3)2 = 196

    (x + 3)2 + (y +5)2 = 196 

    (x+3)2 + (y + 5)2 = 14 

    (x -5)2 + (y -3)2 = 14

    30s
  • Q5

    5.     What is the center and radius of the equation x2+24x + y2+10y+160 =0

    C(12, 5), r = 3   

    C(12, 5), r = 9  

    C(-12, -5), r = 9  

    C(-12, -5), r = 3   

    30s
  • Q6

    6.     What is the standard form of an equation of the circle   x2 + 24x + y2

    (x +12)2 + (y -5)2 = 81

    (x -12)2 + (y +5)2 = 81     

    (x -12)2 + (y -5)2 = 9

    (x +12)2 + (y +5)2 = 9

    30s
  • Q7

    7.     What is the radius of the equation x2 -6x + y2 -32y = -264?

    3

    7

    1

    5

    30s
  • Q8

    8.     What is the center-radius form of the equation of the given circle?

    Question Image

    (x+2)2 + (y +1)2 = 9  

    (x - 2)2 + (y -1)2 = 9

    (x +1)2 + (y +2)2 = 9

    (x- 1)2 + (y - 2)2 = 9

    30s
  • Q9

    9.     A radius of a circle has endpoints (4, -1) and (8, 2).  What is the equation that defines the circle if its center is at the fourth quadrant?

    Question Image

    (x -8)2 + (y -2)2 = 100

    (x -8)2 + (y -2)2 = 25

    (x -4)2 + (y +1)2 = 25

    (x -4)2 + (y +1)2 = 100

    30s
  • Q10

    10.     On a grid map of a province, the coordinates that correspond to the  location of a cellular phone tower is (2, -8)and it can transmit signals up to a 12 km radius.  What is the equation that represents the transmission boundaries of the tower?

    Question Image

    x2 + y2 - 4x + 16y – 76 = 0

    x2 + y2 +4x - 16y – 76 = 0

    x2 + y2 +4x + 16y – 76 = 0

    x2 + y2 - 4x - 16y – 76 = 0

    30s

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