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NCERT exemplar Class 9 Maths solutions chapter 3: Coordinate geometry is amongst the critical branches of maths and is used to draw any expression of a single variable on a plane. These NCERT exemplar Class 9 Maths chapter 3 solutions are a product of the considerable subject matter experts of our Mathematics team. These solutions are a good source to prepare for topics of NCERT Class 9 Maths. Due to their comprehensive details, these NCERT exemplar Class 9 Maths chapter 3 solutions cover the concepts of coordinate geometry to a large extent. NCERT exemplar Class 9 Maths solutions chapter 3 follows the CBSE 9 Class Syllabus covering all the topics recommended by the CBSE.
Question:1
(A) first quadrant
(B) second quadrant
(C) third quadrant
(D) fourth quadrant
Question:2
Signs of the abscissa and ordinate of a point in the second quadrant are respectively
(A) +, +
(B) –, –
(C) –, +
(D) +, –
Question:3
Point (0, –7) lies
(A) on the x –axis
(B) in the second quadrant
(C) on the y-axis
(D) in the fourth quadrant
Question:4
Point lies
(A) on the negative direction of the x-axis
(B) on the negative direction of the y-axis
(C) in the third quadrant
(D) in the fourth quadrant
Question:5
Abscissa of all the points on the x-axis is
(A) 0
(B) 1
(C) 2
(D) any number
Question:6
Ordinate of all points on the x-axis is
(A) 0
(B) 1
(C) -1
(D) any number
Question:7
The point at which the two coordinate axes meet is called the
(A) abscissa
(B) ordinate
(C) origin
(D) quadrant
Question:8
A point both of whose coordinates are negative will lie in
(A) I quadrant
(B) II quadrant
(C) III quadrant
(D) IV quadrant
Question:9
Points
(A) lie in II quadrant
(B) lie in III quadrant
(C) lie in IV quadrant
(D) do not lie in the same quadrant
Answer:
Answer: [D] do not lie in the same quadrantQuestion:10
If y coordinate of a point is zero, then this point always lies
(A) in I quadrant
(B) in II quadrant
(C) on x - axis
(D) on y - axis
Question:11
The points and lie in the
(A) same quadrant
(B) II and III quadrants, respectively
(C) II and IV quadrants, respectively
(D) IV and II quadrants, respectively
Question:12
(A) x coordinate = -5
??? (B) y coordinate = 5 only
(C) y coordinate = -5only
(D) y coordinate = 5 or -5
Question:13
On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
(A) Square
(B) Rectangle
(C)Trapezium
(D) Rhombus
Question:14
If and are plotted on the graph paper, then the point(s) in the fourth quadrant are:
(A) P and T
(B) Q and R
(C) Only S
(D) P and R
Question:15
If the coordinates of the two points are P(-2,3) and Q(-3, 5), then (abscissa of P) - (abscissa of Q) is:
(A) -5
(B) 1
(C) -1
(D) -2
The coordinates of the two points are P(-2,3) and Q(-3, 5).
The abscissa is the x-axis (horizontal) coordinate
The abscissa of P - abscissa of Q
-2-(-3)
=1
Therefore option (B) is correct
Question:16
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:
(A) P and R
(B) R and S
(C) Only Q
(D) Q and O
Question:17
Abscissa of a point is positive in
(A) I and II quadrants
(B) I and IV quadrants
(C) I quadrant only
(D) II quadrant only
Question:18
The points whose abscissa and ordinate have different signs will lie in
(A) I and II quadrants
(B) II and III quadrants
(C) I and III quadrants
(D) II and IV quadrants
Question:19
In Fig. 3.1, coordinates of P are
(A)
(B)
(C)
(D)
Question:20
In Fig. 3.2, the point identified by the coordinates (–5, 3) is
(A) T
(B) R
(C) L
(D) S
Question:21
The point whose ordinate is 4 and which lies on y-axis is
(A) (4, 0)
(B) (0, 4)
(C) (1, 4)
(D) (4, 2)
Question:22
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?
(A) P and R only
(B) Q and S only
(C) P, R and T
(D) Q, S and T
Question:23
The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is
(A) (0, 5)
(B) (5, 0)
(C) (0,-5)
(D) (-5,0)
Question:24
The perpendicular distance of the point P (3, 4) from the y-axis is
(A) 3
(B) 4
(C) 5
(D) 7
Question:1
Answer: FalseQuestion:2
Answer: FalseQuestion:3
Answer: FalseQuestion:4
Answer: FalseQuestion:5
Answer: TrueQuestion:1
Write the coordinates of each of the points P, Q, R, S, T and O from the Figure.
Answer:
Coordinates of any point are in the form (x, y).Question:2
Plot the following points and write the name of the figure obtained by joining them in order :
Answer:
Solution.Question:3
Plot the points (x, y) given by the following table
Answer:
The given points can be plotted as follows:
Question:1
Answer:
Plotting the given points:Question:2
Plot the following points and check whether they are collinear or not :
(1, 1), (2, – 3), (– 1, – 2)
Question:3
Plot the following points and check whether they are collinear or not :
(0, 0), (2, 2), (5, 5)
Question:5
Without plotting the points indicate the quadrant in which they will lie, if
(i) ordinate is 5 and abscissa is -3
(ii) abscissa is -5 and ordinate is -3
(iii) abscissa is -5 and ordinate is 3
(iv) ordinate is 5 and abscissa is 3
Question:6
In figure, LM is a line parallel to the y-axis at a distance of 3 units.
(i) What are the coordinates of the points P, R and Q ?
(ii) What is the difference between the abscissa of the points L and M ?
Question:7
Answer:Question:8
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).
Answer:
C(0, 1), D (0, 0), E(0, -1), G(0, 5)
Solution.Question:9
Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units
Answer:
Scale 1 cm = 0.25 unitsQuestion:10
Answer: (7,0)Question:11
Find the coordinates of the point
(i) which lies on x and y axes both.
(ii) whose ordinate is -4 and which lies on y-axis.
(iii) whose abscissa is 5 and which lies on x-axis.
Question:1
Answer:Question:2
Answer:
Answer:Question:3
Answer: (4, 3)Question:4
From the Fig. 3.8, answer the following:
(i) Write the points whose abscissa is 0.
(ii) Write the points whose ordinate is 0.
(iii) Write the points whose abscissa is -5.
Question:5
Plot the points A (1, -1) and B (4, 5)
(i) Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
(ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
Answer:
(i) (3, 3)NCERT exemplar Class 9 Maths solutions chapter 3 on Coordinate geometry deals with the following topics:
◊ Cartesian system: Any point in the plane is expressed.
◊ Coordinates of a point: An ordered pair to represent any point on the plane (X, Y).
◊ NCERT exemplar Class 9 Maths solutions chapter 3 include physical interpretation of coordinates: Length of abscissa and ordinate.
◊ The possibility of coordinate: Different possibilities of coordinates in four parts of the plane.
◊ Horizontal axis and vertical axis: X-axis as the horizontal axis and Y-axis as the vertical axis.
◊ Importance of origin: The intersection point of two axes which will be the reference point.
These Class 9 Maths NCERT exemplar chapter 3 solutions will help the students grasp the basics of coordinate geometry and turn out to be extremely useful in higher Classes or competitive exams.
The student will learn to draw any expression on a plane by dividing the plane into four parts by two perpendicular lines known as X-axis and Y-axis(Y coordinate can be treated as the value of expression for different values of X coordinate).
The Class 9 Maths NCERT exemplar solutions chapter 3 Coordinate Geometry is appropriate to attempt the questions of other books such as NCERT Class 9 Maths, RD Sharma Class 9 Maths or RS Aggarwal Class 9 Maths.
NCERT exemplar Class 9 Maths solutions chapter 3 pdf download is an interesting feature which permits the students to view/download these solutions of NCERT exemplar Class 9 Maths chapter 3 and practice from them in an offline mode.
Chapter No. | Chapter Name |
Chapter 1 | |
Chapter 2 | |
Chapter 3 | |
Chapter 4 | |
Chapter 5 | |
Chapter 6 | |
Chapter 7 | |
Chapter 8 | |
Chapter 9 | |
Chapter 10 | |
Chapter 11 | |
Chapter 12 | |
Chapter 13 | |
Chapter 14 | |
Chapter 15 |
Yes, we can draw any expression of a single variable on the Cartesian plane. The same can be done by tabular form data of a variable and the value of expression.
No, we cannot draw an expression of two variables, in such a case, we need to locate
three things: two variables and the value of expression.
Yes, we can solve the zeros of any polynomial. The computers solve polynomial zeros with the help of Coordinate Geometry, which cannot be solved algebraically.
Generally, 5-7% of the weightage of the whole paper is given to the questions of Coordinate Geometry. These NCERT Exemplar Class 9 Maths solutions chapter 3 provides the detailed solutions so that the students can understand and score well in the examination.
It is one of the essential branches of mathematics which is asked in IIT, JEE Advanced for several years and ranges up to 17% of the whole paper.
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