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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 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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FAQs on Coordinate Geometry CAT Previous Year Questions with Answer PDF

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometry using the principles of algebra. It involves the use of coordinates to represent points, lines, and shapes on a plane.
2. How do you find the distance between two points in coordinate geometry?
Ans. To find the distance between two points in coordinate geometry, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by the formula: d = √((x2 - x1)^2 + (y2 - y1)^2) Where (x1, y1) and (x2, y2) are the coordinates of the two points.
3. What is the equation of a line in coordinate geometry?
Ans. The equation of a line in coordinate geometry can be written in various forms, such as slope-intercept form, point-slope form, and standard form. The slope-intercept form is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. The standard form is given by the equation Ax + By = C, where A, B, and C are constants.
4. How do you find the midpoint of a line segment in coordinate geometry?
Ans. To find the midpoint of a line segment in coordinate geometry, you can use the midpoint formula. The midpoint formula is given by the formula: M = ((x1 + x2)/2, (y1 + y2)/2) Where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.
5. How do you find the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry can be found using the formula: m = (y2 - y1)/(x2 - x1) Where (x1, y1) and (x2, y2) are two points on the line. The slope represents the rate at which the line rises or falls as it moves from left to right. A positive slope indicates an upward slope, a negative slope indicates a downward slope, and a slope of zero indicates a horizontal line.
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