CAT Questions | CAT Coordinate Geometry Questions

CAT Quantitative Aptitude | CAT Coordinate Geometry

A CAT Coordinate Geometry question that appears in the Quantitative Aptitude section of the CAT Exam broadly tests an aspirant on the concepts - Graphical Representation of Geometrical shapes, Distance between points, Section formula, Intercepts, Circles and so on. In CAT Exam, one can generally expect to get approx. 1 question from CAT Geometry: Coordinate Geometry. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

  1. CAT Coordinate Geometry: Integer coordinates

    Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (3,0) and the point (0,5) is the lowest among all elements in set S. What is the sum of abscissa and ordinate of point P?

    1. 2
    2. 3
    3. 5
    4. 4
    Choice D
    4

  2. CAT Coordinate Geometry: Geometric Probability

    Region R is defined as the region in the first quadrant satisfying the condition 3x + 4y < 12. Given that a point P with coordinates (r, s) lies within the region R, what is the probability that r > 2?

    1. \\frac{1}{4}\\)
    2. \\frac{1}{3}\\)
    3. \\frac{1}{5}\\)
    4. \\frac{1}{2}\\)
    Choice A
    \\frac{1}{4}\\)

  3. CAT Coordinate Geometry: Greatest integer function

    Region Q is defined by the equation 2x + y < 40. How many points (r, s) exist such that r is a natural number and s is a multiple of r?

    1. 84
    2. 92
    3. 105
    4. 72
    Choice B
    92

  4. CAT Coordinate Geometry: Points equidistant from lines

    What is the equation of a set of points equidistant from the lines y = 5 and x = –4?

    1. x + y = –1
    2. x – y = –1
    3. x + y = 1
    4. –x + y = –1
    Choice C
    x + y = 1

  5. CAT Coordinate Geometry: Area under curve

    What is the area enclosed in the region defined by y = |x – 1| + 2, line x = 1, X–axis and Y–axis?

    1. 5 sq units
    2. 2.5 sq units
    3. 10 sq units
    4. 7 sq units
    Choice B
    2.5 sq units

  6. CAT Coordinate Geometry: Circle and chord

    Find the area of the region that comprises all points that satisfy the two conditions x2 + y2 + 6x + 8y ≤ 0 and 4x ≥ 3y?

    1. 25π
    2. 25\\frac{π}{4}\\)
    3. 25\\frac{π}{2}\\)
    4. None of these
    Choice C
    25\\frac{π}{2}\\)

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