Class 9 Maths Chapter 3 introduces Coordinate Geometry, covering the Cartesian system, coordinate axes, origin, quadrants, and how to plot points in the Cartesian plane. These topics are vital for the examination.
2921
1. Abscissa of a point is positive in
2916
2. If the perpendicular distance of a point $\mathrm{P}$ from the $x$-axis is 5 units and the foot of the perpendicular lies on the negative direction of $x$-axis, then the point $\mathrm{P}$ has
2919
3. If the coordinates of the two points are $\mathrm{P}(-2,3)$ and $\mathrm{Q}(-3,5)$, then (abscissa of $\mathrm{P}$ ) - (abscissa of Q) is
2922
4. The points whose abscissa and ordinate have different signs will lie in
2924
5. In Following Fig. the point identified by the coordinates $(-5,3)$ is
2918
6. If $\mathrm{P}(-1,1), \mathrm{Q}(3,-4), \mathrm{R}(1,-1), \mathrm{S}(-2,-3)$ and $\mathrm{T}(-4,4)$ are plotted on the graph paper, then the point(s) in the fourth quadrant are
2906
7. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
2927
8. The point which lies on $y$-axis at a distance of 5 units in the negative direction of $y$-axis is
2920
9. If $\mathrm{P}(5,1), \mathrm{Q}(8,0), \mathrm{R}(0,4), \mathrm{S}(0,5)$ and $\mathrm{O}(0,0)$ are plotted on the graph paper, then the point(s) on the $x$-axis are
2923
10. In Following Fig. coordinates of $P$ are
2909
11. Abscissa of all the points on the $x$-axis is
2911
12. The point at which the two coordinate axes meet is called the
2917
13. On plotting the points $\mathrm{O}(0,0), \mathrm{A}(3,0), \mathrm{B}(3,4), \mathrm{C}(0,4)$ and joining $\mathrm{OA}, \mathrm{AB}, \mathrm{BC}$ and $\mathrm{CO}$ which of the following figure is obtained?
2910
14. Ordinate of all points on the $x$-axis is
2913
15. Points $(1,-1),(2,-2),(4,-5),(-3,-4)$
In the Cartesian plane, the horizontal line is called the $x$-axis and the vertical line is called the $y$-axis. The coordinate axes divide the plane into four parts called quadrants. The point of intersection of the axes is called the origin. Abscissa or the $x$-coordinate of a point is its distance from the $y$-axis and the ordinate or the $y$-coordinate is its distance from the $x$-axis. $(x, y)$ are called the coordinates of the point whose abscissa is $x$ and the ordinate is $y$. Coordinates of a point on the $x$-axis are of the form $(x, 0)$ and that of the point on the $y$-axis is of the form $(0, y)$. The coordinates of the origin are $(0, 0)$. Signs of the coordinates of a point in the first quadrant are $(+, +)$, in the second quadrant $(-, +)$, in the third quadrant $(-, -)$ and in the fourth quadrant $(+, -)$.
The Chapter 3: Coordinate Geometry of Class 9 Maths provides the foundational understanding of the coordinate system and how to plot points. It includes essential concepts and questions that are useful for exams.