Math Assignment Class IX Ch-3 | Coordinate Geometry

Mathematics Assignment Class IX 
Chapter 3 Coordinate Geometry

Mathematics Assignment for Class IX Ch -3, Co-ordinate Geometry, strictly according to the CBSE syllabus. Math worksheet based on the topic Co-ordinate Geometry.

Note:  First of all students should solve the NCERT question and then answer  the following questions.

1. What  is Cartesian coordinate system

Ans: A system which involves the x-axis and y-axis on the two dimensional surface is called a cartesian coordinate system.

2. What we call the horizontal line in Cartesian coordinate system.

Ans: Horizontal line is called the x - axis.

3. What we call the vertical  line in Cartesian coordinate system.

Ans: Vertical Line is called the y - axis.

4. Which point is called the origin and what are its coordinates.

Ans: The point of intersection of x - axis and y - axis is called the Origin. Coordinates of origin are (0,0)

5. What is the point on x – axis.

Ans: Any point on the x - axis is (a, 0)

6. What is the point on y-axis.

Ans: Any point on the y - axis is (0, b)

7. What do you mean by ordinates.

Ans: Point on y - axis is called ordinate.

8. What do you mean by abscissa.

Ans: Point on the x-axis is called abscissa.

9. Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

10. Write the abscissa and ordinate of the following points

(-3, 5),   (0, 9),   (-5, 0),   (3,3),   (7, -9),  (12, 13)

11. Write the coordinates of the point :

a) Whose ordinate is -5 and which lies on y- axis.

b) Which lies on x and y – axes both.

c) Whose abscissa is -3 and which lies on x – axis.

12. Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

 13.  What is the perpendicular distance of the point (3, 4) from

          a)  x – axis        b) Y – axis

14.  What is the perpendicular distance of the point (7, 26) from

          a)  x – axis        b) Y – axis

15) Name the quadrant in which abscissa and ordinate have different sign.

16. Plot the points P(1,0), Q(4,0), and S(1, 3). Find the coordinates of point R such that PQRS is a square. Also find the area of the square.    [Ans: 9 square units)

17. Mark the points A(2,2), B(2,-2), C(-2, -2) and (-2, 2) on the graph paper and join these points in order. Identify the figure so obtained. Also find the area of the figure.            [Ans Square, 16cm²]

18. Plot the points P(-1, 0), Q(0,1) and R(2,3) on the graph paper and check whether they are collinear or not.

19.  If the points A(0, -6), B(0, 2 and C (a, 3) lie on the y-axis, then find the value of a.

20. From the given graph write :

a) The coordinates of the points B and F

b) The abscissas of points D and H

c) The ordinates of the points A and C

d) The perpendicular distance of the point G from x-axis 

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