Chapter 3: Coordinate Geometry

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. Abscissa of all the points on the $x$-axis is

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2. Ordinate of all points on the $x$-axis is

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3. Abscissa of a point is positive in

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4. 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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5. If $y$ coordinate of a point is zero, then this point always lies

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6. The points whose abscissa and ordinate have different signs will lie in

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7. In Following Fig. coordinates of $P$ are
Figure

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8. The point at which the two coordinate axes meet is called the

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9. Point $(-10,0)$ lies

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10. The point which lies on $y$-axis at a distance of 5 units in the negative direction of $y$-axis is

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11. Signs of the abscissa and ordinate of a point in the second quadrant are respectively

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12. A point both of whose coordinates are negative will lie in

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13. The perpendicular distance of the point $P(3,4)$ from the $y$-axis is

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14. Point $(-3,5)$ lies in the

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15. Points $(1,-1),(2,-2),(4,-5),(-3,-4)$

Brief Revision of Coordinate Geometry

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 $(+, -)$.

Conclusion

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.