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}\\)

  7. The following questions are from IPMAT Rohtak and Indore sample papers. If you want to take these questions as a mock please click below.

    IPMAT Rohtak Sample Paper Mock
    IPMAT Indore Sample Paper Mock

    Please note that the explanation button will take you to the IPMAT solution page.


  8. IPMAT 2019 Question Paper - IPM Indore Quants,Coordinate Geometry

    The maximum distance between the point (-5, 0) and a point on the circle x2 + y2 = 4 is

    7

  9. IPMAT 2019 Question Paper - IPM Indore Quants,Coordinate Geometry

    The circle x2 + y2 - 6x - 10y + k = 0 does not touch or intersect the coordinate axes. If the point (1, 4) does not lie outside the circle, and the range of k is (a, b] then a + b is

    54

  10. IPMAT 2019 Question Paper - IPM Indore Quants,Coordinate Geometry

    The area enclosed by the curve 2|x| + 3|y| = 6 is

    1. 12 square units
    2. 3 square units
    3. 4 square units
    4. 24 square units
    Choice A
    12 square units

  11. IPMAT 2019 Question Paper - IPM Indore Quants,Coordinate Geometry

    Two points on a ground are 1 m apart. If a cow moves in the field in such a way that it's distance from the two points is always in ratio 3: 2 then

    1. the cow moves in a straight line
    2. the cow moves in a circle
    3. the cow moves in a parabola
    4. the cow moves in a hyperbola
    Choice B
    the cow moves in a circle

  12. IPMAT 2019 Question Paper - IPM Indore Quants,Coordinate Geometry

    The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 31), and (31, 0) is

    1. 435
    2. 465
    3. 450
    4. 464
    Choice A
    435

The Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop here.


  1. CAT 2017 Question Paper Slot 1 – Co-ordinate Geometry

    The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is

    1. 4
    2. 8
    Choice C
    8

  2. CAT 2017 Question Paper Slot 1 - Co-ordinate Geometry

    The shortest distance of the point (\\frac{1}{2}),1) from the curve y = |x - 1| + |x + 1| is

    1. 1
    2. 0
    3. √2
    4. √\\frac{3}{2})
    Choice A
    1

  3. CAT 2017 Question Paper Slot 2 - Co-ordinate Geometry

    The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

    1. - 5
    2. - 6
    3. - 7
    4. - 8
    Choice D
    - 8

  4. CAT 2018 Question Paper Slot 2 - Coordinate Geometry

    A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is

    1. 4√2 units
    2. 2√2 units
    3. 4 units
    4. 8 units
    Choice C
    4 units

  5. CAT 2019 Question Paper Slot 1 - Coordinate Geometry

    With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x,y) is either to (x,y+1) or to (x+1,y) is [TITA]

    3920

  6. CAT 2019 Question Paper Slot 1 - Coordinate Geometry

    Let T be the triangle formed by the straight line 3x + 5y - 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is [TITA]

    9

  7. CAT 2019 Question Paper Slot 1 - Coordinate Geometry

    Let S be the set of all points (x,y) in the x-y plane such that |x| + |y| ≤ 2 and |x| ≥ 1. Then, the area, in square units, of the region represented by S equals [TITA]

    2


CAT Preparation Online | CAT Geometry questions Videos On YouTube


Other useful sources for Geometry Question | Geometry Triangles Circles Quadrilaterals Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com