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.
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1. In Following Fig. the point identified by the coordinates $(-5,3)$ is
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2. 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?
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3. 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
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4. In Following Fig. coordinates of $P$ are
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5. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
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6. A point both of whose coordinates are negative will lie in
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7. The point at which the two coordinate axes meet is called the
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8. 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
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9. The points (other than origin) for which abscissa is equal to the ordinate will lie in
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10. Which of the points $\mathrm{P}(0,3)$, $\mathrm{Q}(1,0), \mathrm{R}(0,-1), \mathrm{S}(-5,0)$, $\mathrm{T}(1,2)$ do not lie on the $x$-axis?
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11. If $y$ coordinate of a point is zero, then this point always lies
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12. Points $(1,-1),(2,-2),(4,-5),(-3,-4)$
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13. 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
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14. Abscissa of a point is positive in
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15. Point $(-3,5)$ lies in the
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.