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    1st Periodical Exam

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    Rogelio Jr. Tapia
    1. The document is a test in pre-calculus mathematics for 11th grade students covering topics in conic sections including circles, parabolas, ellipses, and hyperbolas. 2. It contains 29 multiple choice questions testing concepts such as the standard form of equations for circles, parabolas, ellipses, and hyperbolas. 3. An answer key is provided with the correct response for each question.

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    © All Rights Reserved
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    1st Periodical Exam

    Uploaded by

    Rogelio Jr. Tapia
    22 views4 pages
    1. The document is a test in pre-calculus mathematics for 11th grade students covering topics in conic sections including circles, parabolas, ellipses, and hyperbolas. 2. It contains 29 multiple choice questions testing concepts such as the standard form of equations for circles, parabolas, ellipses, and hyperbolas. 3. An answer key is provided with the correct response for each question.

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    Q1 CALCULUS

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    1. The document is a test in pre-calculus mathematics for 11th grade students covering topics in conic sections including circles, parabolas, ellipses, and hyperbolas. 2. It contains 29 multiple choice questions testing concepts such as the standard form of equations for circles, parabolas, ellipses, and hyperbolas. 3. An answer key is provided with the correct response for each question.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    22 views4 pages

    1st Periodical Exam

    Uploaded by

    Rogelio Jr. Tapia
    1. The document is a test in pre-calculus mathematics for 11th grade students covering topics in conic sections including circles, parabolas, ellipses, and hyperbolas. 2. It contains 29 multiple choice questions testing concepts such as the standard form of equations for circles, parabolas, ellipses, and hyperbolas. 3. An answer key is provided with the correct response for each question.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 4

    Republic of the Philippines

    Department of Education
    Region VII, Central Visayas
    Toledo City Division
    LURAY II BARANGAY HIGH SCHOOL

    FIRST PERIODICAL TEST IN GRADE ELEVEN PRE-CALCULUS MATHEMATICS


    Name: ___________________________ Section: _______Date: ________ Score: _______
    Multiples Choice. Directions: Choose the correct answer by encircling the letter of your choice.
    1. What type of conic section is formed?

    A. Pabola B. Parabola C. Circle D. Hyperbola

    2. Which of the following does not refer to a conic?


    A. Pabola B. Parabola C. Circle D. Hyperbola

    3. Which of the following represents a conic?


    A. Curve B. Ellipse C. Oval D. Oblong

    4. Which of the following equations define a circle?


    A. x2 + 2y2 + 3x + 4y + 5 = 0 C. x2 - y2 + 3x + 4y + 5 = 0
    2 2
    B. 2x + y + 3x + 4y + 5 = 0 D. x2 + y2 + 3x + 4y + 5 = 0

    5. What is the radius of a circle being defined by x2 + y2= 49


    A. 49 B. -49 C. 7 D. -7

    6. Which of the following equations does NOT describe a circle?


    A. x2 + y2 =4 B.(x–3)2+(y+1)2=4 C. (x+2)2–(y+1)2=4 D. (y -2)2 + (x+ )2 = 4

    (3 points) 7. Which of the following represents the standard form of x2 + 8x + y2 – 6x = 0?


    A. (x+4)2 + (y-3)2 = 25 C. (x+4)2 + (y-3)2 = 14
    B. (x+8)2 + (y-6)2 = 25 D. (x+8)2 + (y-6)2 = 14

    (3 points) 8. What is the equation in standard form of circle with center (1,2) and radius of 3?
    A. (x+1)2 + (y+2)2 = 9 C. (x+2)2 + (y+1)2 = 9
    B. (x-1)2 + (y-2)2 = 9 D. (x-2)2 + (y-1)2 = 9

    9. Which of the following is the graph of x2 + (y -1)2 = 4?


    A. C.

    B. D.
    10. Which of the following illustrates a parabola?
    A. x2 + y2 = 1 B. x2 – y2=1 C. x2 + y =1 D. x + y = 1

    11. Which equations represents a parabola whose directions opens upward?


    A. ( x+2 )2 = 12y B. ( x+ 2)2 = -12y C. ( y + 2 )2 = 12x D. (y + 2 )2 = -12x

    12. Where is the opening of the parabola y = -4x2?


    A. upward B. downward C. to the right D. to the left

    (3 points) 13. What is the equation of the parabola with focus F ( 0, – 3.5 ) and directrix y = 3.5?
    A. y2= 14x B. x2= 14y C. y2= -14x D. x2= -14y

    (3 points) 14. What is standard equation of the parabola with vertex (1,-9) and focus (-3,-9)?
    A. (y+9)2= -16(x-1) B. (y+9)2= 16(x-1) C. (y-9)2= -16(x-1) D. (y-9)2= 16(x-1)

    15. Which of the graphs illustrate (y+1)2 = 4x?


    A. C.

    B. D.

    16. How many foci are there in ellipse?


    A. 0 B. 1 C. 2 D. 3

    2 2
    x y
    17. Which of the coordinates determine one of the vertices of the ellipse, + =1?
    25 9
    A. (5,0) B. (3,0) C. (0,5) D. (5,3)

    (3 points) 18. What is the equation in standard form of ellipse whose foci are F 1 (-8,0) and F2
    (8,0) such that for any point on it, the sum of its distances from the foci is 20?
    x2 y2 x2 y2 x2 y2 x2 y2
    A. + =1 B. + =1 C. + =1 D. + =1
    36 100 100 36 25 144 144 25

    (3 points) 19. Which representation shows an ellipse with vertices (-5 , 0 ) and ( 5, 0 )?

    2 2 2 2 2 2 2 2
    x y x y x y x y
    + =1 + =1 + =1 + =1
    A. 9 25 B. 25 9 C. 3 5 D. 5 3
    x2 y2
    20. Which of the following is the graph of + =1 ?
    144 25
    A. C.

    B. D.

    21. Which of the following equation is hyperbola?


    A. x2 + 2y2 + 3x + 4y + 5 = 0 C. x2 - 2y2 + 3x + 4y + 5 = 0
    2 2
    B. 2x + y + 3x + 4y + 5 = 0 D. x2 + y2 + 3x + 4y + 5 = 0

    x2 y 2
    22. What is the value of c of the hyperbola defined by − =1?
    9 7
    A. 4 B. 7 C. 9 D. 16

    (3 points) 23. Which of the following equations is the standard form of 16y2 – 64y – 49x2 – 392x
    = 1504?
    2 2 2 2
    ( x +4 ) ( y −2) ( x +4 ) ( y −2)
    A. − =1 C. − =1
    16 49 49 16
    ( y−2)2 (x +4)2 ( y−2)2 (x +4)2
    B. − =1 D. − =1
    49 16 16 49

    x2 y2
    (3 points) 24. Which of the following determine the vertices of the hyperbola, − =1?
    16 20
    A. (4,0) & (-4,0) B. (
    √5 , 0) &( −√5 , 0) C. (0,4) & (0,-4) D. (0 ,
    √5 ¿ &
    2 2 2
    −√ 5
    (0 , )
    2
    x2 y2
    − =1
    25. Which of the following describes the asymptote of hyperbola, 16 20 ?
    √5 x
    A. y= 4x B. y = 8x C. y = √ 5x D. y = 2
    26. Which of the following illustrates a circle?
    A. x2 + y2 -3x -6y + 4 = 0 C. x2 -2y2 +5x -3y - 7 = 0
    B. 2x2 + 3y2 -6x +8y -5= 0 D. 3x2 +y2 -7x +4y +6 = 0

    27. Which equations represents a parabola whose directions opens to the left?
    A. ( x+2 )2 = 12y B. ( x+ 2)2 = -12y C. ( y + 2 )2 = 12x D. (y + 2 )2 = -12x
    (3 points) 28. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft.
    How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.
    A. 7. 23 ft B. 7.48 ft C. 7.32 ft D. 7.84 ft

    29. What is the center of the circle with the equation (x – 1) 2 + (y + 2)2 =16?
    A. (1,2) B. (-1,-2) C. (-1,2) D. (1,-2)

    Answer Key
    1. D
    2. A
    3. B
    4. D
    5. C
    6. C
    7. A
    8. B
    9. C
    10. C
    11. A
    12. B
    13. D
    14. A
    15. D
    16. C
    17. A
    18. B
    19. B
    20. C
    21. C
    22. A
    23. B
    24. A
    25. D
    26. A
    27. D
    28. B
    29. D

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