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Coordinate Geometry - 2 Class 9 Worksheet Maths

1. In the following figure, what are the coordinates of: (i) A, (ii) B, (iii) origin?

Coordinate Geometry - 2 Class 9 Worksheet Maths
2. Write the abscissa of the following points: (4, 0), (5, –3), (–3, 4) and (0, –4)
3. Fill in the blanks
Coordinate Geometry - 2 Class 9 Worksheet Maths
Based on the above cartesian planes:
(i) The co-ordinates of point A are   ...........
(ii) The co-ordinates of point B are   ...........
(iii) The co-ordinates of point C are   ...........
(iv) The co-ordinates of point D are   ...........
(v) The co-ordinates of point E are   ...........
(vi) The co-ordinates of point F are   ...........
(vii) The co-ordinates of point G are   ...........

4. Three vertices of a rectangle are (3, 2), (–6, 2) and  (–6, 5). Plot these points and find the co-cordinates of the fourth vertex.

5. Write the co-ordinates of the following quadrilateral OABC.
Coordinate Geometry - 2 Class 9 Worksheet Maths

6. In which quadrant or on which axis, do the points : (–3, 5), (2, –3), (–4, 0) and (0, 5) lie?

Verify your answer by locating them on the cartesian plane.
7. In which quadrant, the point (1, –2) lies?

ANSWERS

1. (i) (–2, 3); (ii) (4, –3); (iii) (0, 0) 

2. 4;   5;  –3  and  0 

3. (i) (–2, 5); (ii) (2, 4); (iii) (–1, 0); (iv) (3, 0); (v) (0, –2); (vi) (–2, –5); (vii) (2, –2) 

4. (3, 5) 

5. O (0, 0);   A(3, 6);   B(6, 1);   C(2, –6)

6. II quadrant; IV quadrant; II quadrant; I quadrant; 

7. IV quadrant

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FAQs on Coordinate Geometry - 2 Class 9 Worksheet Maths

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometrical figures using the principles of algebra. It involves representing points, lines, and curves on a coordinate plane using numerical values called coordinates.
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 states that the distance between two points (x1, y1) and (x2, y2) is given by the formula: √((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 is given by the formula y = mx + c, where m represents the slope of the line and c represents the y-intercept. The slope (m) denotes the rate at which the line rises or falls, while the y-intercept (c) represents the point where the line intersects the y-axis.
4. How can we determine if two lines are parallel in coordinate geometry?
Ans. Two lines are parallel in coordinate geometry if and only if their slopes are equal. If the slopes of two lines are equal, then they will never intersect each other, and hence, they are parallel.
5. How can we determine if two lines are perpendicular in coordinate geometry?
Ans. Two lines are perpendicular in coordinate geometry if and only if the product of their slopes is equal to -1. If the slopes of two lines, say m1 and m2, satisfy the equation m1 * m2 = -1, then the lines are perpendicular.
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