Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 132 views

    Analytic Geometry 1: Prepared By: Engr. Junie A. Valendez

    Uploaded by

    Merlin Quipao
    This document provides a summary of analytic geometry concepts including the Cartesian coordinate system, slope of lines, equations of lines, parallel and perpendicular lines, and circles. It includes 26 multiple choice practice problems addressing these topics, such as finding distances between points and lines, determining equations of lines, and identifying properties of circles. The document aims to help students learn and practice the essential skills of analytic geometry.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd

    Analytic Geometry 1: Prepared By: Engr. Junie A. Valendez

    Uploaded by

    Merlin Quipao
    132 views26 pages
    This document provides a summary of analytic geometry concepts including the Cartesian coordinate system, slope of lines, equations of lines, parallel and perpendicular lines, and circles. It includes 26 multiple choice practice problems addressing these topics, such as finding distances between points and lines, determining equations of lines, and identifying properties of circles. The document aims to help students learn and practice the essential skills of analytic geometry.

    Original Description:

    vmlgkmbf

    Original Title

    ANALYTIC 1

    Copyright

    © © All Rights Reserved

    Available Formats

    PPTX, PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    This document provides a summary of analytic geometry concepts including the Cartesian coordinate system, slope of lines, equations of lines, parallel and perpendicular lines, and circles. It includes 26 multiple choice practice problems addressing these topics, such as finding distances between points and lines, determining equations of lines, and identifying properties of circles. The document aims to help students learn and practice the essential skills of analytic geometry.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    132 views26 pages

    Analytic Geometry 1: Prepared By: Engr. Junie A. Valendez

    Uploaded by

    Merlin Quipao
    This document provides a summary of analytic geometry concepts including the Cartesian coordinate system, slope of lines, equations of lines, parallel and perpendicular lines, and circles. It includes 26 multiple choice practice problems addressing these topics, such as finding distances between points and lines, determining equations of lines, and identifying properties of circles. The document aims to help students learn and practice the essential skills of analytic geometry.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    You are on page 1of 26

    ANALYTIC GEOMETRY 1

    PREPARED BY: ENGR. JUNIE A. VALENDEZ


    CARTESIAN COORDINATE SYSTEM:
    PROBLEMS:
    1. Given two points (3,7) and (-4,-7). Solve for the
    distance between them.
    A. 15.65 B. 245 C. 81 D. 4.58
    2. If the distance between two points (x,-1) and (2,3) is
    equal to 4, find the value of x.
    A. 2 B. 3 C. 5 D. 4
    3. If (x,4) is equidistant from (5,-2) and (3,4) find x:
    A. 13 B. 10 C. 15 D. 12
    SLOPE OF A LINE:
    PROBLEMS:
    4. What is the slope of the line 3x + 2y + 1 = 0
    A. -2/3 B. -3/2 C. 2/3 D. 3/2
    5. Find the slope of a line having a parametric equation of
    x = 2 + t and y = 5 – 3t.
    A. -3 B. -2 C. 3 D. 2
    6. Compute the angle between the line 2y – 9x – 18 = 0
    and the x-axis.
    A. 77.47° B. 82.46° C. 68.42° D. 55.36°
    DIVISION OF A LINE SEGMENT:
    ALTERNATE FORMULA:
    PROBLEMS:
    7. If (-2,-4) is the midpoint of (6, -7) and (x,y), then the
    values of x and y are
    A. x = 2; y = 1 C. x = 10, y = -1
    B. x = -10; y = -1 D. x = -8; y = -1
    8. Determine the coordinates of the point which is three-
    fifths of the way from the point (2, -5) to the point (-3,5).
    A. (-1,1) B. (-2,-1) C. (-1,-2) D. (-3,5)
    STRAIGHT LINE EQUATIONS:
    PROBLEMS:

    9. Find the equation of the line passing through the origin and with the slope
    of 6.
    A. y – 6x = 0 B. y = -6 C. x + y = -6 D. 6x + y = 0
    10. If the points (-2,3), (x,y), and (-3,5) lie on a straight line, then the
    equation of the line is _________.
    A. x-2y-1=0 B. 2x+y-1=0 C. x+2y-1=0 D. 2x+y+1=0
    11. Find the equation of a straight line with a slope of 3 and a y-intercept of
    1.
    A. 3x+y–1=0 B. 3x-y+1=0 C. x+3y+1=0 D. x-3y-1=0
    12. Find the equation of the line if the x-intercept and y-intercept are -2 and
    4, respectively.
    A. y–2x–4=0 B. y–2x+4=0 C. y+2x–4=0 D. y+2x+4=0
    PARALLEL AND PERPENDICULAR LINES:
    PROBLEMS:
    13. What is the equation of the line that passes thru (4,0) and is
    parallel to the line x – y – 2 =0?
    A. y+x+4=0 B. x-y-4=0 C. y-x-4=0 D. y+x-4=0
    14. Find the equation of the line point (3,1) that is perpendicular to
    the line x + 5y + 5 = 0.
    A. 5x-y-14=0 B. 4x+5y-12=0 C. 3x+4y-14=0 D. 4x-3y-12=0
    ANGLE BETWEEN INTERSECTING LINES:
    PROBLEMS:
    15. Find the angle formed by the lines 2x + y – 8 = 0
    and x + 3y + 4 =0.
    A. 30° B. 35° C. 45° D. 60°
    16. What is the acute angle between the lines y = 3x
    + 2 and y = 4x +9?
    A. 4.4° B. 28.3° C. 5.2° D. 18.6°
    DISTANCE FROM A POINT TO A LINE:
    PROBLEMS:
    17. Find the distance of the line 3x + 4y = 5 from the
    origin.
    A. 4 B. 3 C. 2 D. 1
    18. The distance from the point (2,1) to the line 4x –
    3y + 5 = 0 is
    A. 1 B. 2 C. 3 D. 4
    DISTANCE BETWEEN TWO PARALLEL LINES:
    PROBLEMS:
    19. Find the distance between the given lines 4x –
    3y = 12 and 4x – 3y = -8
    A. 4 B. 3 C. 2 D. 5
    PLANE AREAS BOUNDED BY COORDINATES:
    PROBLEMS:
    20. Find the area of a triangle whose vertices are A(-3,-1), B(5,3)
    and (2,-8).
    A. 38 B. 32 C. 34 D. 36
    21. In a Cartesian coordinates, the coordinates of a square are (1,1),
    (0,8), (4,5) and (-3,4). What is the area?
    A. 25 B. 20 C. 18 D. 14
    22. Find the area of the polygon whose vertices are at (2,6), (4,0),
    (2,4), (-3,2) and (-3,3).
    A. 19.5 B. 15.2 C. 17.4 D. 25.3
    LOCUS OF A MOVING POINT:
    PROBLEMS:
    23. Find the equation of the locus of the points which
    are always equidistant from (3,2) and (-5,-4).
    A. 4x + 3y + 7 =0 C. 4x - 3y - 7 =0
    B. x + 2y + 5 =0 D. 5x - 4y + -10 =0
    CIRCLE:
    GENARAL EQUATION OF A CIRCLE:
    PROBLEMS:
    24. What is the equation of a circle with center at (3,-5) and radius 2?
    A. x² + y² - 6x + 10y + 30 = 0 C. x² + y² - 10x + 6y + 34 = 0
    B. x² + y² - 6x + 10y - 34 = 0 D. x² + y² - 3x + 5y + 15 = 0
    25. Find the radius of a circle from the given equation x² + y² + 2x +
    12y - 27 = 0
    A. 4 B. 6 C. 8 D. 10
    26. A chord of the circle x² + y² +4x + 6y -32 = 0 is 12 units long. How
    far is it from the center of the circle?
    A. 3 units B. 4.67 units C. 4 units D. 5.33 unit
    “SUCCESS IS THE SUM OF ALL EFFORTS, REPEATED
    DAY IN AND DAY OUT.”

    -ROBERT COLLIER

    THANK YOU AND GOD BLESS!!!

    You might also like