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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2912

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

I quadrant

II quadrant

III quadrant

IV quadrant

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2. 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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3. In Following Fig. coordinates of $P$ are

$(-4,2)$

$(-2,4)$

$(4,-2)$

$(2,-4)$

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

first quadrant

second quadrant

third quadrant

fourth quadrant

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5. Abscissa of a point is positive in

I and II quadrants

I and IV quadrants

I quadrant only

II quadrant only

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

3

4

5

7

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7. 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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8. 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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9. 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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10. 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 $\mathrm{O}$

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

+, +

-, -

-, +

+, -

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13. 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

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

abscissa

ordinate

origin

quadrant

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15. 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

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.