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NCERT Solutions for Class 9 Maths chapter 3 exercise 3.2 introduces us to the cartesian system. We learned that the number line in earlier classes was the representation of the location of points in one dimension. The cartesian system represents the location of points in two dimensions. The cartesian system was developed by a great French mathematician of the seventeenth century René Déscarte.
NCERT solutions for class 9 maths chapter 3 exercise 3.2 introduces us to many terminologies such as x-axis, y-axis, origin, quadrants. NCERT solutions for Class 9 Maths exercise 3.2 is a foundation exercise for the branch of coordinate geometry as well as all of the chapters that will be covered in subsequent sessions. We gave a broad concept of this in exercise 3.2 Class 9 Maths. the cartesian plane and cartesian axis, along with this how we represent coordinates on the cartesian plane. Along with Class 9 Maths chapter 3 exercise 3.2 the following exercises are also present.
Q1 (i) Write the answer of each of the following questions:
What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
Answer:
The Horizontal line is x-axis and the Vertical line is y-axis.
Q1 (ii) Write the answer of each of the following questions:
What is the name of each part of the plane formed by these two lines?
Answer:
The name of each part of the plane formed by the x-axis and the y-axis is called "Quadrant".
Q1 (iii) Write the answer of each of the following questions:
Write the name of the point where these two lines intersect.
Answer:
The point where x-axis and y-axis both intersect is known as Origin.
Q2 See Fig.3.14, and write the following:
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates (–3, –5).
(iv) The point identified by the coordinates (2, – 4).
(v) The abscissa of the point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.
Answer:
From the figure:
(i) The coordinates of B are
(ii) The coordinates of C are
(iii) The point is E identified by the coordinates (–3, –5).
(iv) The point is G identified by the coordinates (2, – 4).
(v) The abscissa of the point D is 6.
(vi) The ordinate of the point H is -3.
(vii) The coordinates of the point L are
(viii) The coordinates of the point M are
NCERT book Class 9 Maths chapter 3 exercise 3.2 includes two questions. The question one has four subparts and it is a theory-based question it asks about the various information related to the cartesian axis and cartesian plane. Question two has eight subparts and in question two we have been given a cartesian plane and it is marked with eight points and several questions are asked about each coordinate in each subpart. Before NCERT solutions for Class 9 Maths exercise 3.2 there are two solved examples. Both are about finding the coordinates with help of a cartesian plane and also provide us with the knowledge of new terms. NCERT syllabus Exercise 3.2 Class 9 Maths covers all types of basic questions that can be formed on locating the coordinate. Exercise 3.2 Class 9 Maths has a vast variety of questions asked in each subpart of questions.
Also Read| Coordinate Geometry Class 9 Notes
Class 9 Mathematics chapter 3 exercise 3.1 covers the fundamentals of identifying coordinates in the cartesian plane, which we will need to know for Class 9 Maths chapter 3 exercise 3.3. NCERT exercise 3.2 from chapter 3 of Class 9 Maths will be useful in chapter 7 of Class 10 Math: Coordinate Geometry. NCERT solutions for exercise 3.2 Class 9 Maths chapter 3 will be useful in Class 11 Maths chapter 10 straight line and Class 11 Maths chapter 11 conic section. Exercise 3.2, Class 9 Maths, is also a foundation idea for several joint entrance test themes (JEE Main).
Also see-
A cartesian plane is defined by two perpendicular number lines, A horizontal line and a vertical line
We represent coordinate in the cartesian plane as (x,y) x is the distance from the x-axis and y is the distance from the y-axis
The horizontal axis ( x-axis ) and vertical axis (y-axis ) is known as a cartesian axis as covered in exercise 3.2 Class 9 Maths
(0,0) is the general coordinate of the origin
4 quadrants are there in the cartesian plane
Quadrant Ⅰ
Quadrant Ⅱ
Quadrant Ⅲ
Quadrant Ⅳ
Quadrant Ⅰ - (x,y)
Quadrant Ⅱ - (-x,y)
Quadrant Ⅲ - (-x,-y)
Quadrant Ⅳ- (x,-y)
X-axis is known as abscissa according to NCERT solutions for Class 9 Maths exercise 3.2
y-axis is known as ordinate according to NCERT solutions for Class 9 Maths exercise 3.2
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