Suresh Lecturer

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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2916

1. 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

$x$ coordinate $=-5$

$y$ coordinate $=5$ only

$y$ coordinate $=-5$ only

$y$ coordinate $=5$ or -5

2915

2. The points $(-5,2)$ and $(2,-5)$ lie in the

same quadrant

II and III quadrants, respectively

II and IV quadrants, respectively

IV and II quadrants, respectively

2906

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

+, +

-, -

-, +

+, -

2907

4. Point $(0,-7)$ lies

on the $x$-axis

in the second quadrant

on the $y$-axis

in the fourth quadrant

2920

5. 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

$\mathrm{P}$ and $\mathrm{R}$

$\mathrm{R}$ and $\mathrm{S}$

Only $\mathrm{Q}$

$\mathrm{Q}$ and $\mathrm{O}$

2913

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

lie in II quadrant

lie in III quadrant

lie in IV quadrant

do not lie in the same quadrant

2905

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

first quadrant

second quadrant

third quadrant

fourth quadrant

2910

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

0

1

-1

any number

2917

9. 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?

Square

Rectangle

Trapezium

Rhombus

2914

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

in I quadrant

in II quadrant

on $x$ - axis

on $y$-axis

2908

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

on the negative direction of the $x$-axis

on the negative direction of the $y$-axis

in the third quadrant

in the fourth quadrant

2927

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

$(0,5)$

$(5,0)$

$(0,-5)$

$(-5,0)$

2911

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

abscissa

ordinate

origin

quadrant

2921

14. Abscissa of a point is positive in

I and II quadrants

I and IV quadrants

I quadrant only

II quadrant only

2923

15. In Following Fig. coordinates of $P$ are

$(-4,2)$

$(-2,4)$

$(4,-2)$

$(2,-4)$

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.