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Arithmetic Aptitude :: Co-ordinate Geometry

  1.  The following points (3a, 0), (0, 3b), (a, 2b) forms a

  2. A.

    triangle

    B.

    straight line

    C.

    equilateral triangle

    D.

    None of these

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  3.  The points A(–1, 4), B(5, 2) are the vertices of a triangle of which C(0,–3) is centroid, then the third vertex C is

  4. A.

    4, 15

    B.

    4, –15

    C.

    –4, –15

    D.

    None of these

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  5.  Acute angle between the lines with slopes3/4 and 1/7 is

  6. A.

    30°

    B.

    45°

    C.

    60°

    D.

    90°

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  7.  The equation of a straight line whose inclinations is 60° and y–intercept is –2 is

  8. A.

    y = √x - 2

    B.

    y = - √x - 2

    C.

    y = x/2 - 2

    D.

    None of these

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  9.  The equation of a straight line passing through (6, –3) and (4,–3) is

  10. A.

    x = 4

    B.

    x = 6

    C.

    y + 3 = 0 

    D.

    None of these

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  11.  The equation of the image of the line x + 2 = 0 with respect to x = 0 is

  12. A.

    x = 0

    B.

    y = 0

    C.

    x = –2 

    D.

    None of these

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  13.  The points (4, – 5), (1, 1), (–2, 7) are

  14. A.

    collinear

    B.

    non-collinear

    C.

    vertices of a triangle

    D.

    None of these

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  15.  Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.

  16. A.

    3, 2 

    B.

    3, –2 

    C.

    –3, 2

    D.

    –3, –2

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  17.  The equation of the line whose intercept on the axes are 4 and 3 is

  18. A.

    3x – 4y =10 

    B.

    3x + 4y =12 

    C.

    –3x + 4y = 5

    D.

    None of these

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  19.  Find the equation of the line which cuts off equal and positive intercepts on the axes and their sum is 12.

  20. A.

    x + y = 6

    B.

    x – y = 6 

    C.

    x – y = 12 

    D.

    None of these

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