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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1. 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

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2. 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

$\mathrm{P}$ and $\mathrm{T}$

$\mathrm{Q}$ and $\mathrm{R}$

Only $\mathrm{S}$

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

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

on the $x$-axis

in the second quadrant

on the $y$-axis

in the fourth quadrant

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4. 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

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

0

1

2

any number

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6. 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

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

3

4

5

7

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

I quadrant

II quadrant

III quadrant

IV quadrant

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

$(-4,2)$

$(-2,4)$

$(4,-2)$

$(2,-4)$

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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

$(0,5)$

$(5,0)$

$(0,-5)$

$(-5,0)$

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11. The point whose ordinate is 4 and which lies on $y$-axis is

$\quad(4,0)$

$(1,4)$

$(0,4)$

$\quad(4,2)$

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12. 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

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

abscissa

ordinate

origin

quadrant

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14. 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

-5

1

-1

-2

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15. 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?

P and R only

$Q$ and $S$ only

P, R and $\mathrm{T}$

$\mathrm{Q}, \mathrm{S}$ and $\mathrm{T}$

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.