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Arithmetic Aptitude :: Co-ordinate Geometry

  1.  What is the equation of a circle of radius 6 units centered at (3, 2)?

  2. A.

    x² + y² + 6x - 4y = 23

    B.

    x² + y² - 6x - 4y = 23

    C.

    x² + y² - 6x + 4y = 23

    D.

    x² + y² + 6x + 4y = 23


  3.  If a line passes through point A(0, c) and has gradient 'm' then equation will be

  4. A.

    cx = y + m

    B.

    m = xy + c

    C.

    c = xy + m

    D.

    y = mx + c


  5.  According to Pythagoras theorem, distance between points (-3, 8) and (8, -5) is

  6. A.

    15.19 unit

    B.

    16.47 unit

    C.

    17.03 units

    D.

    18.76 unit


  7.  If coordinates of A and B are (2, 2) and (9, 11) respectively then length of line segment AB is

  8. A.

    10.7

    B.

    11.4

    C.

    12.3

    D.

    13.6


  9.  If points of straight line are M(7, 1) and N(7, 2) then line MN is

  10. A.

    vertical line with equation with x = 7

    B.

    vertical line with equation with x = 5

    C.

    vertical line with equation with x = 3

    D.

    vertical line with equation with x = 1


  11.  Straight line equation y = 5x - 2 has gradient of

  12. A.

    1

    B.

    3

    C.

    5

    D.

    7


  13.  If coordinates of A and B are (5, 6) and (9, 10) respectively then length of line segment AB is

  14. A.

    5.66

    B.

    6.22

    C.

    7.88

    D.

    9.11


  15.  In gradient-intercept form of equation y = mx + c, 'm' denotes

  16. A.

    intercept on x-axis

    B.

    intercept on y-axis

    C.

    gradient of straight line

    D.

    gradient of independent variable


  17.  Straight line equation y = x⁄3 + 1⁄4 cuts y-axis at point

  18. A.

    (0, x⁄3)

    B.

    (0, 1⁄3)

    C.

    (0, x⁄4)

    D.

    (0, 1⁄4)


  19.  In gradient-intercept form of equation y = mx + c, point where line cuts y-axis is

  20. A.

    (0, c)

    B.

    (1, c)

    C.

    (2, c)

    D.

    (3, c)