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NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.2 - Coordinate Geometry
The coordinate plane allows us to visualise locations via two cross-sectioning number lines, which are positioned horizontally and vertically. The plane breaks into four regions using these lines to identify exact points through numeric pairs. Using this system enables the conversion of geometric expressions into algebraic expressions for improved analysis of shape and point relationships. Analysing coordinates establishes essential knowledge necessary to study more sophisticated geometric and algebraic features.
This Story also Contains
- NCERT Solutions Class 9 Maths Chapter 3: Exercise 3.2
- Topics Covered in Chapter 3 Coordinate Geometry: Exercise 3.2
- NCERT Solutions of Class 9 Subject Wise
- NCERT Exemplar Solutions of Class 9 Subject Wise
Matter experts at our institution developed NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.2, which provide students with stepwise solutions for understanding and implementing the formula easily. Students will find it simple to learn coordinate identification, axis definition, and quadrant recognition using recent NCERT Books examples. The step-by-step exam preparation guides function as a great tool for developing conceptual knowledge and exam readiness.
NCERT Solutions Class 9 Maths Chapter 3: Exercise 3.2
Answer:
To determine the position of any point in the Cartesian Plane, the Horizontal line is the x-axis and the Vertical line is the y-axis.
Answer:
The name of each part of the plane formed by the two lines, which are the x-axis and the y-axis, is called a Quadrant.
Answer:
The point where the x-axis and the y-axis both intersect is known as the 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 (−5, 2). (−5,2).
(ii) The coordinates of C are (5, −5).
(iii) The point E is identified by the coordinates (–3, –5).
(iv) The point G is identified by the coordinates (2, – 4).
(v) Abscissa is a point's x-coordinate. It indicates how distant the point is from the y-axis (left or right). Therefore, the abscissa of point D is 6.
(vi) Ordinate is a point's y-coordinate. It indicates the distance the point is from the x-axis (up or down). Therefore, the ordinate of the point H is -3.
(vii) The coordinates of the point L are (0, 5).
(viii) The coordinates of the point M are (−3, 0) .
Also Read-
Topics Covered in Chapter 3 Coordinate Geometry: Exercise 3.2
- Understanding the x-axis and the y-axis: The x-axis is the horizontal line, and the y-axis is the vertical line on a graph. They intersect at a point called the origin.
- Naming and identifying quadrants: The Cartesian plane is divided into four parts called quadrants, numbered I to IV, starting from the top-right and going counter-clockwise.
- Reading and writing coordinates: The numeric position of a point appears as an ordered pair (x, y), which indicates horizontal and vertical positions, respectively.
- Identifying points on a Cartesian plane: We identify points on a graph by determining their x and y coordinates, which we then use to mark the exact point.
- Understanding abscissa and ordinate: In the coordinate pair (x, y), x is called the abscissa (horizontal value) and y is called the ordinate (vertical value).
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NCERT Solutions of Class 9 Subject Wise
Students must check the NCERT solutions for class 9 of the Mathematics and Science Subjects.
NCERT Exemplar Solutions of Class 9 Subject Wise
Students must check the NCERT Exemplar solutions for class 9 of the Mathematics and Science Subjects.
Frequently Asked Questions (FAQs)
Q: What is Cartesian plane according to NCERT solutions for Class 9 Maths exercise 3.2?
A:
A cartesian plane is defined by two perpendicular number lines, A horizontal line and a vertical line
Q: How do we represents coordinate in Cartesian plane?
A:
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
Q: What is cartesian axis according to NCERT solutions for Class 9 Maths exercise 3.2?
A:
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
Q: What is general coordinate of origin according to NCERT solutions for Class 9 Maths exercise 3.2?
A:
(0,0) is the general coordinate of the origin
Q: How many quadrants are there in the Cartesian plane?
A:
4 quadrants are there in the cartesian plane
Q: Name all the quadrant in Cartesian plane as covered exercise 3.2 Class 9 Maths.
A:
Quadrant Ⅰ
Quadrant Ⅱ
Quadrant Ⅲ
Quadrant Ⅳ
Q: General coordinates for each quadrant as referred in exercise 3.2 Class 9 Maths ?
A:
Quadrant Ⅰ - (x,y)
Quadrant Ⅱ - (-x,y)
Quadrant Ⅲ - (-x,-y)
Quadrant Ⅳ- (x,-y)
Q: What is abscissa according to NCERT solutions for Class 9 Maths exercise 3.2?
A:
X-axis is known as abscissa according to NCERT solutions for Class 9 Maths exercise 3.2
Q: What is ordinate according to NCERT solutions for Class 9 Maths exercise 3.2?
A:
y-axis is known as ordinate according to NCERT solutions for Class 9 Maths exercise 3.2
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