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. coordinates of $P$ are
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2. 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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3. The perpendicular distance of the point $P(3,4)$ from the $y$-axis is
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4. In Following Fig. the point identified by the coordinates $(-5,3)$ is
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5. The point whose ordinate is 4 and which lies on $y$-axis is
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6. 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
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7. The points $(-5,2)$ and $(2,-5)$ lie in the
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8. Points $(1,-1),(2,-2),(4,-5),(-3,-4)$
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9. A point both of whose coordinates are negative will lie in
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10. The points (other than origin) for which abscissa is equal to the ordinate will lie in
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11. Point $(0,-7)$ lies
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12. 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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13. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
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14. Point $(-10,0)$ lies
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15. 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
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.