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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

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  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

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  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

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  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

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  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

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

  12. A.

    1

    B.

    3

    C.

    5

    D.

    7

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  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

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  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

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  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)

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  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)

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