Chapters
Chapter 2: Polynomials
Chapter 3: Coordinate Geometry
Chapter 4: Linear Equation In Two Variables
Chapter 5: Introduction To Euclid's Geometry
Chapter 6: Lines & Angles
Chapter 7: Triangles
Chapter 8: Quadrilaterals
Chapter 9: Areas of Parallelograms & Triangles
Chapter 10: Circles
Chapter 11: Construction
Chapter 12: Heron's Formula
Chapter 13: Surface Area & Volumes
Chapter 14: Statistics & Probability

Chapter 3: Coordinate Geometry
NCERT solutions for Mathematics Exemplar Class 9 Chapter 3 Coordinate Geometry Exercise 3.1 [Pages 25 - 27]
Choose the correct alternative:
Point (–3, 5) lies in the ______.
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
Signs of the abscissa and ordinate of a point in the second quadrant are respectively ______.
+, +
–, –
–, +
+, –
Point (0, –7) lies ______.
On the x –axis
In the second quadrant
On the y-axis
In the fourth quadrant
Point (– 10, 0) lies ______.
On the negative direction of the x-axis
On the negative direction of the y-axis
In the third quadrant
In the fourth quadrant
Abscissa of all the points on the x-axis is ______.
0
1
2
Any number
Ordinate of all points on the x-axis is ______.
0
1
– 1
Any number
The point at which the two coordinate axes meet is called the ______.
Abscissa
Ordinate
Origin
Quadrant
A point both of whose coordinates are negative will lie in ______.
I quadrant
II quadrant
III quadrant
IV quadrant
Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.
Lie in II quadrant
Lie in III quadrant
Lie in IV quadrant
Do not lie in the same quadrant
If y-coordinate of a point is zero, then this point always lies ______.
In I quadrant
In II quadrant
On x-axis
On y-axis
The points (– 5, 2) and (2, – 5) lie in the ______.
Same quadrant
II and III quadrants, respectively
II and IV quadrants, respectively
IV and II quadrants, respectively
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.
x-coordinate = – 5
y-coordinate = 5 only
y-coordinate = – 5 only
y-coordinate = 5 or –5
On plotting the points O(0, 0), A(3, −4), B(3, 4) and C(0, 4) and joining OA, AB, BC and CO, which of the following figure is obtained?
Square
Rectangle
Trapezium
Rhombus
If P(– 1, 1), Q(3, – 4), R(1, –1), S(–2, –3) and T(– 4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are ______.
P and T
Q and R
Only S
P and R
If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
– 5
1
– 1
– 2
If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are ______.
P and R
R and S
Only Q
Q and O
Abscissa of a point is positive in ______.
I and II quadrants
I and IV quadrants
I quadrant only
II quadrant only
The points whose abscissa and ordinate have different signs will lie in ______.
I and II quadrants
I and II quadrants
I and III quadrants
II and IV quadrants
In figure, coordinates of P are ______.
(– 4, 2)
(– 2, 4)
(4, – 2)
(2, – 4)
In figure, the point identified by the coordinates (–5, 3) is ______.
T
R
L
S
The point whose ordinate is 4 and which lies on y-axis is ______.
(4, 0)
(0, 4)
(1, 4)
(4, 2)
Which of the points P(0, 3), Q(1, 0), R(0, – 1), S(–5, 0), T(1, 2) do not lie on the x-axis?
P and R only
Q and S only
P, R and T
Q, S and T
The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is ______.
(0, 5)
(5, 0)
(0, – 5)
(– 5, 0)
The perpendicular distance of the point P (3, 4) from the y-axis is ______.
3
4
5
7
NCERT solutions for Mathematics Exemplar Class 9 Chapter 3 Coordinate Geometry Exercise 3.2 [Page 28]
State whether the statement is True or False
Point (3, 0) lies in the first quadrant.
True
False
Points (1, –1) and (–1, 1) lie in the same quadrant.
True
False
The coordinates of a point whose ordinate is `-1/2` and abscissa is 1 are `-1/2, 1`.
True
False
A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).
True
False
(–1, 7) is a point in the II quadrant
True
False
NCERT solutions for Mathematics Exemplar Class 9 Chapter 3 Coordinate Geometry Exercise 3.3 [Pages 29 - 31]
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.
Plot the following points and write the name of the figure obtained by joining them in order: P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)
Plot the points (x, y) given by the following table:
x | 2 | 4 | – 3 | – 2 | 3 | 0 |
y | 4 | 2 | 0 | 5 | – 3 | 0 |
Plot the following points and check whether they are collinear or not:
(1, 3), (– 1, – 1), (– 2, – 3)
Plot the following points and check whether they are collinear or not:
(1, 1), (2, – 3), (– 1, – 2)
Plot the following points and check whether they are collinear or not:
(0, 0), (2, 2), (5, 5)
Without plotting the points indicate the quadrant in which they will lie, if ordinate is 5 and abscissa is – 3
Without plotting the points indicate the quadrant in which they will lie, if abscissa is – 5 and ordinate is – 3
Without plotting the points indicate the quadrant in which they will lie, if abscissa is – 5 and ordinate is 3
Without plotting the points indicate the quadrant in which they will lie, if ordinate is 5 and abscissa is 3
In figure, LM is a line parallel to the y-axis at a distance of 3 units. What are the coordinates of the points P, R and Q?
In figure, LM is a line parallel to the y-axis at a distance of 3 units. What is the difference between the abscissa of the points L and M?
In which quadrant or on which axis the following points lie?
(– 3, 5),
In which quadrant or on which axis the following points lie?
(4, – 1)
In which quadrant or on which axis the following points lie?
(2, 0)
In which quadrant or on which axis the following points lie?
(2, 2)
In which quadrant or on which axis the following points lie?
(– 3, – 6)
Which of the following points lie on y-axis?
A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3).
Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units
x | 1.25 | 0.25 | 1.5 | – 1.75 |
y | – 0.5 | 1 | 1.5 | – 0.25 |
A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates? What will be the coordinates if it lies on y-axis at a distance of –7 units from x-axis?
Find the coordinates of the point which lies on x and y axes both.
Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
Taking 0.5 cm as 1 unit, plot the following points on the graph paper: A(1, 3), B(– 3, – 1), C(1, – 4), D(– 2, 3), E(0, – 8), F(1, 0)
NCERT solutions for Mathematics Exemplar Class 9 Chapter 3 Coordinate Geometry Exercise 3.4 [Page 32]
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.
From the figure, answer the following:
Write the points whose abscissa is 0.
From the figure, answer the following:
Write the points whose ordinate is 0.
From the figure, answer the following:
Write the points whose abscissa is – 5.
Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
Plot the points A(1, – 1) and B(4, 5). Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
Chapter 3: Coordinate Geometry

NCERT solutions for Mathematics Exemplar Class 9 chapter 3 - Coordinate Geometry
NCERT solutions for Mathematics Exemplar Class 9 chapter 3 (Coordinate Geometry) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 9 solutions in a manner that help students grasp basic concepts better and faster.
Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.
Concepts covered in Mathematics Exemplar Class 9 chapter 3 Coordinate Geometry are Cartesian Coordinate System, Plotting a Point in the Plane If Its Coordinates Are Given., Coordinate Geometry.
Using NCERT Class 9 solutions Coordinate Geometry exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 9 prefer NCERT Textbook Solutions to score more in exam.
Get the free view of chapter 3 Coordinate Geometry Class 9 extra questions for Mathematics Exemplar Class 9 and can use Shaalaa.com to keep it handy for your exam preparation