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Coordinate Geometry CAT Previous Year Questions with Answer PDF

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself:The area of the quadrilateral bounded by the Y -axis, the line x = 5, and the lines |x − y| − |x − 5| = 2, is

[2023]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself:The area of the region satisfying the inequalities | x | - y ≤ 1, y ≥ 0 and y ≤ 1 is
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Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself:The area, in sq. units, enclosed by the lines x = 2, y =| x - 2 | + 4 , the X -axis and the Y -axis is equal to

[2020]

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Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself:The vertices of a triangle are (0,0),(4,0) and (3,9). The area of the circle passing through these three points is

[2020]

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Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself:The points (2,1) and (-3,-4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9 y + c = 0 , then c is

[2020]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself: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 2019]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself: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 2019]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself: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 2019]

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Question for CAT Previous Year Questions - Coordinate Geometry
Try yourself: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

[2018]

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The document Coordinate Geometry CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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FAQs on Coordinate Geometry CAT Previous Year Questions with Answer PDF

1. What are the basic concepts of coordinate geometry?
Ans. Coordinate geometry involves studying geometrical shapes using the coordinate system, where points are located using ordered pairs of numbers (x, y). This system allows for the calculation of distances, slopes, and equations of lines.
2. How can we find the distance between two points using coordinate geometry?
Ans. The distance between two points A(x1, y1) and B(x2, y2) can be found using the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
3. What is the equation of a straight line in coordinate geometry?
Ans. The equation of a straight line in coordinate geometry can be represented in various forms, such as slope-intercept form (y = mx + b), point-slope form (y - y1 = m(x - x1)), or standard form (Ax + By = C).
4. How do we determine if two lines are parallel using coordinate geometry?
Ans. Two lines are parallel if they have the same slope. To determine this, calculate the slopes of both lines using the formula m = (y2 - y1)/(x2 - x1) and check if they are equal.
5. Can coordinate geometry be used to find the midpoint of a line segment?
Ans. Yes, the midpoint of a line segment can be found using the midpoint formula: M((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.
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