Mathematics Assignment Class 9th
Chapter 3
Coordinate Geometry
Note: First of all students should solve the NCERT question and then solvE the following questions
1. What is Cartesian coordinate system
2. What we call the horizontal line
in Cartesian coordinate system.
3. What we call the vertical line in Cartesian coordinate system.
4. Which point is called the origin
and what are its coordinates.
5. What is the point on x – axis.
6. What is the point on y-axis.
7. What do you mean by ordinates.
8. What do you mean by 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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