#### 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.

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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.

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