MCQ Questions for Class 9 Maths Coordinate Geometry Quiz 4

$A(x, y)$ lies in the III quadrant, what are the signs of

$x$ and

$y$ ?

0%
$(+, -)$
0%
$(-, +)$
0%
$(+, +)$
0%
$(-, -)$

Explanation

$A(x,y)$ lie in

$'iii'$ Quadrant

both

$x$ and

$y$ will be negative i.e,

$(-,-)$

$Q(x, y)$ lies in the fourth quadrant which of the following is correct?

0%
$x$ is positive
0%
$x$ is negative
0%
$y$ is positive
0%
$y$ is negative

Explanation

Any point in the fourth quadrant is of the form

$(+,-)$

$Q(x,y)$ is in fourth quadrant

then,

$x$ is positive and

$y$ is negative

Which quadrant(s) have points with a positive abscissa?

0%
I, II
0%
I, IV
0%
I only
0%
IV only

Explanation

Abscissa is

$X$ -coordinate. Its positive in first and fourth quadrants.

$A$ is a point on

$x$ -axis at a distance

$4$ units from

$y$ -axis to its left.

The co-ordinates of

$A$ are:

0%
$(4,\,0)$
0%
$(0,\,4)$
0%
$(-4,\,0)$
0%
$(0,\,-4)$

Explanation

$A$ is a point on the

$x$ -axis, so its ordinate

$y=0$ .

Also,

$A$ lies

$4$ units to the left of

$y$ -axis, so its abscissa

$=-4$

The required co-ordinates of point

$A$ are

$(-4,\,0)$ .

So, option

$C$ is correct.

On which quadrant does

$P$ lie if its ordinate is

$5$ and the abscissa is

$-3$ ?

0%
$I$
0%
$II$
0%
$III$
0%
$IV$

Explanation

The co-ordinates of the given point

$P$ are

$(-3, 5)$ .

Hence,

$P$ lies in the

$II$ quadrant. (since abscissa (i.e, x coordinate) is negative and ordinate (y coordinate) is positive)

So, option

$B$ is correct.

$y$ -coordinate of a point is zero then the point will always lie

0%
in $I$ quadrant
0%
in $II$ quadrant
0%
on $X$ -axis
0%
on $Y$ -axis

Explanation

$X$ -axis, the

$y$ -coordinate of any point is always

$0$ .

So, option

$C$ is correct.

Which statement is true?

0%
The x-axis is a vertical line
0%
The point $(-2 , 3)$ lies in the III quadrant
0%
Origin is the point of intersection of the x-axis and y-axis
0%
The point $(-3, -4)$ lies in the II quadrant

Which option represent a point on the

$y$ -axis?

0%
$(7, 0)$
0%
$(6, 5)$
0%
$(5, 3)$
0%
$(0, 5)$

Explanation

We know, any point which lies on the

$y$ -axis will be of the form

$(0,y)$ , where

$y$ is any real number.

Here, only

$(0,5)$ is of the form

$(0,y)$ , where

$y=5$ .

Therefore, option

$D$ is correct.

The coordinates of the point S in the graph is:

0%
(-4, 2)
0%
(-2, -2)
0%
(0, 5)
0%
(2, 1)

Explanation

As per graph is given the scale of x-axis is 1 unit for one line and scale of y-axis is 1 unit of one line

Then we see in the figure, the point is in II quarter and on x-axis 4 lines and y -axis 2 line

So, coordinates of point

$S$ are

$(-4,2)$ .

The point

$(-5,4)$ lie in _____________

0%
The first quadrant
0%
The second quadrant
0%
The third quadrant
0%
The fourth quadrant

Explanation

When a coordinate point has its abscissa as negative real number and ordinate as a positive real number then the co-ordinate lies in the second quadrant.

Thus the point

$(-5,4)$ lie in the second quadrant

If a person moves either

$1$ unit in the direction of positive

$x$ -axis or

$1$ unit in the direction of positive

$y$ -axis per step, then the number of steps he requires to reach

$(10,12)$ starting from the origin

$(0,0)$ is _____________

0%
$10$
0%
$12$
0%
$22$
0%
$120$

Explanation

It is said that a person moves either

$1$ unit in the direction of the positive

$x$ -axis or

$y$ -axis.

From the origin, the number of steps in

$x$ -axis

$=10$ steps.

From the origin, the number of steps in

$y$ -axis

$=12$ steps.

$\therefore$ Total number of steps required will be

$10+12=22$ steps.

The signs of the coordinates of a point in the third quadrant are ______________

0%
$(+,-)$
0%
$(-,+)$
0%
$(+,+)$
0%
$(-,-)$

Explanation

The signs of the coordinates of a point in the third quadrant are

$(-, -)$ as both

$x$ and

$y$ are negative quantities in the particular quadrant.

Write the abscissa and ordinate of the following point.

$(-5, 3)$

0%
abscissa : $-5$
ordinate : $3$
0%
abscissa : $5$
ordinate : $3$
0%
abscissa : $-5$
ordinate : $-3$
0%
None of these

Explanation

The given point is

$(-5,3)$

The abscissa of given point is

$-5$

The ordinate of given point is

$3$

Write the abscissa and ordinate of the following point.

$(4, -8)$

0%
abscissa : $4$
ordinate : $-8$
0%
abscissa : $3$
ordinate : $-8$
0%
abscissa : $2$
ordinate : $-8$
0%
None of these

Explanation

The given point is

$(4,-8)$

The abscissa of given point is

$4$

The ordinate of given point is

$-8$

Write the quadrant in which the following point lie

$(5, -3)$

0%
$Q_4$
0%
$Q_3$
0%
$Q_2$
0%
$Q_1$

Explanation

First quadrant X=positive and Y=positive

Second quadrant X=negative and Y=positive

Third quadrant X=negative and Y=negative

Fourth quadrant X=positive and Y=negative

$(5,-3)$ has

$X=5$ , positive and

$Y=3$ ,negative

$\therefore$ The point lies in the fourth quadrant.

Write the quadrant in which the following point lie

$(-2, 3)$

0%
$Q_2$
0%
$Q_3$
0%
$Q_4$
0%
$Q_1$

Explanation

First quadrant X=positive and Y=positive

Second quadrant X=negative and Y=positive

Third quadrant X=negative and Y=negative

Fourth quadrant X=positive and Y=negative

$(-2,3)$ has

$X=-2$ , negative and

$Y=3$ , positive

$\therefore$ The point lies in the second quadrant.

Write the abscissa and ordinate of the following point.

$(0, 0)$

0%
abscissa : $0$
ordinate : $0$
0%
abscissa : $4$
ordinate : $0$
0%
abscissa : $0$
ordinate : $4$
0%
None of these

Explanation

The given point is

$(0,0)$

The abscissa (x-coordinate) of given point is

$0$

The ordinate (y-coordinate) of given point is

$0$

State whether the following statement is true/false.

$(5, 7)$ is a point in the IV quadrant.

0%
True
0%
False

Explanation

Since, both

$x$ and

$y$ coordinates are positive.

Hence,

$(5,7)$ will lies on first quadrant.

1348496_620446_ans_d650e19ee816458988d241b0304e89a7.png

Find the quadrant or axis on/in which the following point lies.

$(-1, -1)$

0%
$I$
0%
$II$
0%
$III$
0%
None of these

Explanation

Let point

$A(x,y)=(-1,-1)$ .

since both

$x$ and

$y$ are negative, so

$A$ lies on

$III$ quadrant.

1348600_620465_ans_a88f843c9f2049ffbf55ad10ffa3e725.png

Find the quadrant or axis on/in which the following point lies.

$(0, 0)$

0%
$I$
0%
$II$
0%
$III$
0%
Origin

Explanation

Point

$(0,0)$ is known as the origin of the coordinate system.
1348614_620471_ans_4bd0dd6bcc1f4a6d98b2304408bf80fb.png

Find the quadrant or axis on/in which the following point lies.

$(7, 0)$

0%
$III$
0%
$II$
0%
x-axis
0%
None of these

Explanation

Let the given point be

$A(x,y)=(7,0)$ .

We know that, the

$y-coordinate$ of a point is the perpendicular distance of the point from

$x-axis$ .

Here

$y=0$ , hence point

$A$ lies on

$x-axis$ , as shown in the graph above.

Hence, option C is correct.

1348629_620466_ans_d64cff550c9840558314f50385d3c707.png

Find the quadrant or axis on/in which the following point lies.

$(5, 2)$

0%
$I$
0%
$II$
0%
$III$
0%
None of these

Explanation

Let point

$A(x,y)=(5,2)$ .

since both

$x$ and

$y$ are positive, so

$A$ lies in

$I$ quadrant.

$(-2, -4)$ lies above x-axis.

0%
True
0%
False

State whether the following statement is true/false.

For any point on the x-axis, its y-coordinate is zero.

0%
True
0%
False

Explanation

All the points which lies on

$x-axis$ have

$y-coordinate=0$ .

So the given statement is

$True$ .

1348584_620462_ans_2dd7ae28c6ba4d77a227606e50a4db1d.png

State whether the following statement is true/false.

$(0, 3)$ is a point on x-axis.

0%
True
0%
False

Explanation

since

$x=0$ , so the point

$A(0,3)$ will lies on

$y-axis$ .
1348550_620458_ans_16308e976d2d492c8a20648ca265c9b2.PNG

Write down the abscissa for the following point:

$(-7, 2)$

0%
$-7$
0%
$1$
0%
$2$
0%
None of these

Explanation

We know that, the

$x-coordinate$ of a point is also known as abscissa and the

$y-coordinate$ is known as ordinate.

Hence, the abscissa is the

$x–coordinate$ of any point

$A(x, y)$ .

So, abscissa of point

$(–7, 2)$ is

$–7$ .

Hence, option A is correct.

1348893_620475_ans_a60c7593364e4e5183010ef35c1ffabc.png

Find the quadrant or axis on/in which the following point lies.

$(4, -5)$

0%
$I$
0%
$IV$
0%
$III$
0%
None of these

Explanation

Let point

$A(x,y)=(4,-5)$ .

since

$x$ is positive and

$y$ is negative, so

$A$ lies on

$IV$ quadrant.

1348608_620470_ans_830fff9a692b4f138cfcb4fc2ca7af76.png

Find the quadrant or axis on/in which the following point lies.

$(8, -7)$

0%
$I$
0%
$II$
0%
$IV$
0%
None of these

Explanation

Let point

$A(x,y)=(8,-7)$ .

since,

$x-$ coordinate is positive and

$y-$ coordinate is negative, the point lies on

$IV$ quadrant.

1348895_620477_ans_ff25fa8ce949424ebaa26426d56e38d1.png

Write down the ordinate of the following point.

$(7, -4)$

0%
$-4$
0%
$4$
0%
$7$
0%
None of these

Explanation

The ordinate is the

$y$ –coordinate of any point.

So, the ordinate of point

$(7, –4)$ is

$–4.$

Write down the abscissa for the following point.

$(-5, -3)$

0%
$-5$
0%
$5$
0%
$-3$
0%
None of these

Explanation

Abscissa is the

$x–coordinate$ of any point

$A(x, y)$ .

So, abscissa of point

$(–5, –3)$ is

$–5$ .

1348896_620478_ans_9ea5a6da22eb44248611366149dcb188.png

CBSE Questions for Class 9 Maths Coordinate Geometry Quiz 4 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

CBSE Questions for Class 9 Maths Coordinate Geometry Quiz 4 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

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