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    Analytic Geometry

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    Justinn
    The document provides 30 multiple choice questions related to analytic geometry concepts such as finding distances and coordinates of points, determining equations of lines and circles, identifying conic sections based on equations, and performing other geometric calculations and transformations. The questions cover a wide range of fundamental analytic geometry topics tested in high school and introductory college math courses.

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    © All Rights Reserved
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    Analytic Geometry

    Uploaded by

    Justinn
    213 views2 pages
    The document provides 30 multiple choice questions related to analytic geometry concepts such as finding distances and coordinates of points, determining equations of lines and circles, identifying conic sections based on equations, and performing other geometric calculations and transformations. The questions cover a wide range of fundamental analytic geometry topics tested in high school and introductory college math courses.

    Original Title

    ANALYTIC GEOMETRY

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    © © All Rights Reserved

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    The document provides 30 multiple choice questions related to analytic geometry concepts such as finding distances and coordinates of points, determining equations of lines and circles, identifying conic sections based on equations, and performing other geometric calculations and transformations. The questions cover a wide range of fundamental analytic geometry topics tested in high school and introductory college math courses.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    213 views2 pages

    Analytic Geometry

    Uploaded by

    Justinn
    The document provides 30 multiple choice questions related to analytic geometry concepts such as finding distances and coordinates of points, determining equations of lines and circles, identifying conic sections based on equations, and performing other geometric calculations and transformations. The questions cover a wide range of fundamental analytic geometry topics tested in high school and introductory college math courses.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
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    MECORREL1 – ANALYTIC GEOMETRY

    Instruction: Solve the following problem

    1. Find the distance between (4, -3) and (-2, 5)


    A. 10 C. 9 17. Given the circle x2+y2-6x +12y+9 =0. Find the
    B. 8 D. 11
    coordinates of the center.
    2. If the point (x,4) is equidistance from (5, -2) and (3,4),
    find x. A. (3, 6) C. (3, -6)
    A. 13 C. 9 B. (-3, 6) D. (-3, -6)
    B. 10 D. 8 18. Find the equation of the circle whose center is at (3, -5)
    3. The segment (-1,4) to (2, -2) is extended three times its and whose radius is 4.
    own length. Find the terminal point. A. x2 + y2 - 6x + 10y + 18 = 0
    A. (11, -24) C. (11, -18) B. x2 + y2 + 6x + 10y + 18 = 0
    B. (-11, -20) D. (11, -20) C. x2 + y2 + 6x - 10y + 18 = 0
    4. Find the inclination of the line passing through (4,1) and D. x2 + y2 - 6x - 10y + 18 = 0
    (-3, -3) 19. Find the center of the ellipse x2+4y2-2x-8y+1=0.
    A. (33, 12) C. (6, 9) A. (1, -1) C. (-1, 1)
    B. (5, 0) D. (14, 6) B. (-1, -1) D. (1, 1)
    5. The line segment connecting (x, 6) and (9, y) is 20. Determine the coordinates of the foci of the equation
    bisected by the point (7,3). Find the values of x and y. 25x2+16y2-150x+128y+81=0.
    A. (33, 12) C. (6, 9) A. (3, -1) & (3, -7) C. (-3, -1) & (-3, -7)
    B. (5, 0) D. (14, 6) B. (3, 1) & (3, 7) D. none of the above
    6. What is the distance between the line x+2y+8 = 0 and 21. Find the major axis of the ellipse x2+4y2–2x–8y+1=0.
    the point (5, -2)? A. 2 C. 4
    A. 2.17 C. 4.02 B. 10 D. 6
    B. 3.56 D. 5.12 22. Determine the length of latus rectum of the hyperbola
    7. Determine k such that the line 3x+2y-7 = 0 is parallel to whose equation is 9x2-4y2+90x+189=0.
    the line 2x-ky+2 = 0. A. 9 C. 4
    A. -4/3 C. 4/3
    B. 2.67 D. none of the above
    B. -2/3 D. 2/3
    8. Determine B such that 3x + 2y -7 = 0 is perpendicular 23. Find the equation of the asymptote of the hyperbola
    to 2x – By + 2 = 0. x2/9 – y2/4 = 1.
    A. 5 C. 3 A. 2x-3y=0 C. 2x-y=0
    B. 4 D. 2 B. 3x-2y=0 D. 2x+y=0
    9. Find the distance between lines, 3x+y-12=0 & 3x+y- 24. Find the eccentricity of the curve 9x2-4y2-36x+8y=4.
    4=0 A. 2x-3y=0 C. 2x-y=0
    A. 2.53 C. 1.53 B. 3x-2y=0 D. 2x+y=0
    B. 3.53 D. 4.53 25. Given the equation of the parabola 3x + y 2 – 4y +7 = 0.
    10. Find the equation of the line that passes through (-5, Determine the length of latus rectum.
    -6) and (4,3)
    A. 2 C. 5
    A. y = 2x - 1 C. y = x + 1
    B. y = 3x - 2 D. y = x - 1 B. 3 D. 4
    11. Find the smallest angle between lines 2x + y – 8 = 0 26. Determine the equation of a parabola with vertex (-2,3)
    and x+3y+4=0 and focus at (-4,3)
    A. 30 C. 45 A. y2+8x-6y=25 C. y2+8x+6y=25
    B. 15 D. 60 B. y2+8x-6y=-25 D. y2-8x-6y=25
    12. Determine the area of the triangle bounded by the 27. An arch 18 m high has the form of parabola with a
    straight lines x+2y=7, 3x-4y = 1, and 2x-y+6=0. vertical axis. The length of a horizontal beam is placed
    A. 20 C. 24
    across the arch 8m from the top is 64m. Find the width
    B. 36 D. none of the above
    13. The coordinates of a square are (1, 1), (0, 8), (4, 5), of the arch at the bottom.
    and (-3, 4). What is the area? A. 86 m C. 106 m
    A. 25 C. 18 B. 96 m D. 76 m
    B. 20 D. 14 28. What is the polar equation of a circle of radius 3 units
    14. A point with a distance from point (0,1) is one-fourth of and center at (3,0)?
    its distance from the line y = 4. Find the equation of its A. r = 6cosθ C. r = 8sinθ
    locus. B. r = 8cosθ D. r = 6sinθ
    A. 16x2+15y2-24y=0 C. 16x2+15y2+24y=0 29. Change the equation x2 - y2 = 4 to polar coordinates.
    B. 16x2-5y2-24y=0 D. 16x2-15y2+24y=0
    A. 2 √ cos 2θ C. √ cos 2 θ
    15. What conic section is represented by 4x2 – y2 + 8x + 4y
    = 15? B. 2 √ sec 2θ D. √ sec 2 θ
    A. parabola C. hyperbola 30. Eliminate the parameter t from the parametric
    B. ellipse D. circle equations; x = sint and y = cos2t-1.
    16. What conic section is represented by x2 + 4xy + 4y2 + A. x2+2y=0 C. 2x2-y=0
    2
    2x = 10? B. x -2y=0 D. 2x2+y=0
    A. parabola C. hyperbola
    B. ellipse D. circle

    1
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