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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2923

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

$(-4,2)$

$(-2,4)$

$(4,-2)$

$(2,-4)$

2921

2. Abscissa of a point is positive in

I and II quadrants

I and IV quadrants

I quadrant only

II quadrant only

2922

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

I and II quadrants

II and III quadrants

I and III quadrants

II and IV quadrants

2904

4. The points (other than origin) for which abscissa is equal to the ordinate will lie in

I quadrant only

I and II quadrants

I and III quadrants

II and IV quadrants

2914

5. 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

6. 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

2913

7. 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

2910

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

0

1

-1

any number

2915

9. 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

2909

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

0

1

2

any number

2912

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

I quadrant

II quadrant

III quadrant

IV quadrant

2907

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

on the $x$-axis

in the second quadrant

on the $y$-axis

in the fourth quadrant

2916

13. 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

2927

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

$(0,5)$

$(5,0)$

$(0,-5)$

$(-5,0)$

2906

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

+, +

-, -

-, +

+, -

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.