Rbse Solutions for Class 9 Maths Chapter 3 Exercise 3.2 | Coordinate Geometry
1. Questions on Cartesian Plane Terminology
(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
- Horizontal Line: X-axis
- Vertical Line: Y-axis
(ii) What is the name of each part of the plane formed by these two lines?
- Each part is called a Quadrant. (There are four quadrants in total: I, II, III, and IV).
(iii) Write the name of the point where these two lines intersect.
- The point of intersection is called the Origin. (Represented by the coordinates (0, 0)).
📈 2. Analysis of Figure 3.14
- 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.
To answer these questions, we refer to the provided coordinate graph .
(i) The coordinates of B.
Locate point B. Read the x-coordinate first (horizontal distance) and then the y-coordinate (vertical distance).
The coordinates of B are $(-5, 2)$.
(ii) The coordinates of C.
Locate point C.
The coordinates of C are $(5, -5)$.
(iii) The point identified by the coordinates $(–3, –5)$.
Find $x=-3$ and $y=-5$.
The point is E.
(iv) The point identified by the coordinates $(2, – 4)$.
Find $x=2$ and $y=-4$.
The point is G.
(v) The abscissa of the point D.
The abscissa is the $x$-coordinate. Locate point D.
The $x$-coordinate of D is 6.
(vi) The ordinate of the point H.
The ordinate is the $y$-coordinate. Locate point H.
The $y$-coordinate of H is $-3$.
(vii) The coordinates of the point L.
Locate point L. It lies on the y-axis, 5 units up from the origin.
The coordinates of L are $(0, 5)$.
(viii) The coordinates of the point M.
Locate point M. It lies on the x-axis, 3 units to the left of the origin.
The coordinates of M are $(-3, 0)$.
$\text{Get step-by-step NCERT Solutions for Class 9 Maths Chapter 3, Exercise 3.2. Define and identify the X-axis, Y-axis, Origin, Quadrants, Abscissa, and Ordinate. Learn to read coordinates from a graph. Essential for CBSE/RBSE students.}$
❓ Frequently Asked Questions (FAQs) on Cartesian System Terminology
Q: What are the X-axis and Y-axis collectively called?
The X-axis and Y-axis are collectively called the Coordinate Axes or the Cartesian Axes. They form the basis of the Cartesian plane.
Q: What is the difference between the abscissa and the ordinate of a point (x, y) ?
A: The abscissa is the x-coordinate (the horizontal distance from the Y-axis). The ordinate is the y-coordinate (the vertical distance from the X-axis). When giving coordinates, the abscissa is always written first, followed by the ordinate, forming the ordered pair (x, y).
Q: What are the four parts of the plane formed by the axes called?
A: The $\text{X-axis}$ and $\text{Y-axis}$ divide the plane into four parts, each of which is called a Quadrant. These quadrants are numbered I, II, III, and IV counter-clockwise starting from the top-right section.
Q: What is the name and coordinates of the point where the two axes intersect?
A: The point where the $\text{X-axis}$ and $\text{Y-axis}$ intersect is called the Origin. Its coordinates are always (0, 0).