MCQ Questions for Class 9 Maths Coordinate Geometry Quiz 7

Which point lies on

$y$ -axis?

0%
$(4,0)$
0%
$(0, 4)$
0%
$(-8, 0)$
0%
$(0, -8)$

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, the points

$(0,4)$ and

$(0,-8)$ are of the form

$(0,y)$ , where

$y=4$ and

$-8$ , respectively.

Therefore, options

$B$ and

$D$ is correct.

In the given figure, which of the following are equal?

0%
$pr$
0%
$ps$
0%
$qr$
0%
$qs$

Explanation

From Figure,

$(p,q)\equiv(p,0)$ and

$(r,s)\equiv(0,s)$

Now,

$pr=p\times 0=0$

$\Rightarrow qr=0\times0=0$

$\Rightarrow qs=0\times s=0$

So,

$pr=qr=qs=0$

Hence, A,C and D are correct options.

If the co-ordinates of the point

$P$ are

$(3, -5)$ , find the perpendicular distance of

$P$ from the

$y$ -axis with proper

$'+'$ or

$'-'$ sign prefixed.

0%
$-5$
0%
$5$
0%
$3$
0%
$-3$

Explanation

Given, the point $P(3,-5)$ .

We know, in the $xy$ -plane, any point is of the form $(x,y)$ , where $x,y$ can be any number.

The $x$ -coordinate or the abscissa is the perpendicular distance of $P$ from the $y$ -axis.

Also, the $y$ -coordinate or the ordinate is the perpendicular distance of $P$ from the $x$ -axis.

Here, $3$ is the abscissa which is the perpendicular distance of $P$ from the $y$ -axis.

Hence, option $C$ is correct.

In which of the quadrant, point

$(-7, -6)$ will lie?

0%
$Q_3$
0%
$Q_4$
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

$(-7,-6)$ has

$X=-7,$ negative and

$Y=-6$ , negative

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

$(-5, -8)$ lies in the fourth quadrant.

0%
True
0%
False

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

$(-5,-8)$ has

$X=-5$ , negative and

$Y = -8$ , negative

The point lies in the fourth quadrant. Hence, the given statement is false.

Write the following based on the graph.

The abscissa of M

0%
$-3$
0%
$3$
0%
$7$
0%
None of these

Explanation

As we can see that the dotted lines cut the x axis at

$- 3$ . So, the abscissa point

$M(-3,7)$ is

$-3$ .

1076574_571164_ans_fc1701823cc14d85bd6d6c2c9833c6b1.png

The point

$(2, -3)$ lies in the third quadrant.

0%
True
0%
False

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

$X=2$ , positive and

$Y = -3,$ negative

The point lies in the fourth quadrant. Hence, the given statement is False.

State True or False.

The point

$(-x, -y)$ lies in the first quadrant where x < 0, y < 0.

0%
True
0%
False

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

Now, the given points is

$(-x,-y)$ where

$x<0$ and

$y<0$ . So,

$-x>0$ and

$-y>0$ .

$(-x,-y)$ has abscissa=

$-x,$ positive and ordinate =

$-y,$ positive

The point lies in the first quadrant. Hence, the given statement is True.

Write the quadrant in which the following point lie

$(4, 2)$

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

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

$(4,2)$ has

$X=4$ , positive and

$Y=2$ , Positive

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

Sate true or false

Line joining them is parallel to Y axis
(i)

$(4, 2)$
(ii)

$(4, -5)$
(iii)

$(4, 0)$
(iv)

$(4, -2)$

0%
True
0%
False

Explanation

All the points have

$x-coordinate=4$ .

so, all the points lie on line

$x=4$ , which is parallel to

$y-axis$ .

hence, the line joining the above points is parallel to

$y-axis$ .

State whether the following statement is true/false.

$(-2, -7)$ is a point in the III quadrant.

0%
True
0%
False

State whether the following statements are true/false.

$(-2, 3)$ lies in the II quadrant.

0%
True
0%
False

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

$(-5, 7)$

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

Explanation

Let point

$A(x,y)=(-5,7)$ .

Since

$x$ is negative and

$y$ is positive,

$A$ lies in the

$II$ quadrant.

1348624_620473_ans_4d846d3b90a846fdad506c64b3f82c9c.png

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

$(1, 4)$

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

Explanation

Let point

$A(x,y)=(1,4)$ .

since both

$x$ and

$y$ are positive, so

$A$ lies on

$I$ quadrant.

1348620_620472_ans_c205f6b8062d452c8cc26dad4bd008d8.png

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

$(-8, -1)$

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

Explanation

Let point

$A(x,y)=(-8,-1)$ .

since both

$x$ and

$y$ are negative, so

$A$ lies on

$III$ quadrant.

State true or false

The abscissa of two points is

$0$ .Line joining them is Y axis

0%
True
0%
False

Explanation

Given abscissa of two points is

$0$ .

let's assume the points as

$(0,a)$ and

$(0,b)$ .

line joining these two points is given by

$x=0$ , which is

$y-axis$ .

Sate true or false

The ordinates of two points are each

$-6$ . Line joining them is parallel to X axis

0%
True
0%
False

Explanation

ordinate of the two points are

$-6$ .

let's take two points as

$(a,-6)$ and

$(b,-6)$ .

line joining these two points is given by

$y=-6$ , which is parallel to

$x-axis$ .

The point (-2, 7) lies in the quadrant

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

The point (x, 0) where x < 0 lies on

0%
OX
0%
OY
0%
OX'
0%
OY'

Explanation

$\textbf{Step-1: Plot the given point according to the problem.}$

$\text{We have,}$

$\text{ The point (x, 0) where x < 0}$

$\text{This point will lie on X -axis. i.e., The point will be either on OX or OX'.}$

$\text{This point will lie on OX if x > 0 & OX' if x < 0}$

$\therefore$

$\text{The point lies on OX' }$

$[\because$

$\text{ x < 0}]$

$\textbf{Hence, option - C}$

2165942_621051_ans_8f56088888484ac4817c1854eadc32a0.png

An abscissa of a point

$P$ is negative and ordinate of

$P$ is positive, then

$P$ lies in:

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

Explanation

The abscissa of a point means the

$x$ - coordinate of the point.

The ordinate of a point means the

$y$ - coordinate of the point.

If both coordinates are positive, the point must be located in quadrant

$1$ .

If only one coordinate is positive, the point is either in quadrant

$2$ or quadrant

$4$ .

If only the first coordinate is positive, then the point is in quadrant

$4$ .

If only the second coordinate is positive, then the point is in quadrant

$2$ .

Here, the first coordinate is negative and the second coordinate is positive, then the point is in quadrant

$2$ .

Which of the following points lies in second quadrant?

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

In which of the following quadrants does the point

$P (2 , -3)$ lie ?

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

Explanation

We know that, abscissa and coordinates in

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

$X=2,$ positive and

$Y=-3$ , negative

Therefore point

$P(2,-3)$ lies in

$IV$ quadrant.

In which of the following quadrants does the point

$P (-7, -1)$ lie ?

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

Explanation

Values of abscissa and ordinate are different in all three quadrants.

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

$(-7,-1)$ has

$X=-7,$ which is negative and

$Y=-1$ which is also negative

Therefore point

$P(-7,-1)$ lies in quadrant

$III$

In which of the following quadrant does the point

$P(3 , 6)$ lie ?

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

Explanation

We know that, abscissa and coordinates in

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

$(3,6)$ has

$X=3,$ positive and

$Y=6$ , positive

Therefore point

$P(3,6)$ lies in

$I$ quadrant.

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

0%
$\left(+,+\right)$
0%
$\left(-,-\right)$
0%
$\left(-,+\right)$
0%
$\left(+,-\right)$

Explanation

$\textbf{Step 1: Checking the value of abscissa and ordinate in the second quadrant}$

$\text{The second quadrant consists of the negative x-axis and positive y axis}$

$\therefore\text{ Abscissa is negative and Ordinate is positive}$

$\textbf{Hence, the sign of abscissa and ordinate in the second quadrant is (-,+)}$

Points

$\left(1,-1\right), \left(2,-2\right), \left(4, -5\right), \left(-3,-4\right)$

0%
lie in $II$ quadrant
0%
lie in $III$ quadrant
0%
lie in $IV$ quadrant
0%
do not lie in it same quadrant

Explanation

In points

$\left(1,-1\right), \left(2,-2\right)$ and

$\left(4,-5\right)$ x - coordinate is positive and y - coordinate is negative. So, they all lie in

$IV$ quadrant. In point

$\left(-3,-4\right)$ x - coordinate is negative and y - coordinate is negative. So, it lies in

$III$ quadrant. So, given points do not lie in the same quadrant.
Hence,

$\left(D\right)$ is the correct answer.

On plotting the points

$O \left(0,0\right) , A \left(3,0\right), B \left(3,4\right) , C \left(0,4\right)$ and joining OA, AB, BC and CO which of the following figure is obtained ?

0%
Square
0%
Rectangle
0%
Trapezium
0%
Rhombus

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

0%
$I \, and \, II$ quadrants
0%
$II \, and \, IV$ quadrants
0%
$I$ quadrant Only
0%
$II \, and \, IV$ quadrants only.

Explanation

The points whose abscissa and ordinate have different sings will be of the from

$\left(-x, y\right)$ or

$\left(x, -y\right)$ and these points will lie in

$II$ and

$IV$ quadrants.

Hence,

$\left(D\right)$ is the correct answer.

The points

$\left(-5,2\right)$ and

$\left(2,-5\right)$ lie in the

0%
Same quadrant
0%
II and III quadrants, respectively
0%
II and IV quadrants, respectively
0%
IV and II quadrants, respectively

Explanation

In point

$\left(-5,2\right)$ ,

$x$ - coordinate is negative and

$y$ - coordinate is positive, so it lies in

$II$ quadrant and in the point

$\left(2,-5\right)$ ,

$x$ - coordinate is positive and

$y$ - coordinate is negative, so it lies in

$IV$ quadrant.

Hence,

$\left(C\right)$ is the correct answer.

If the coordinates of the two points are

$P \left(-2,3\right)$ and

$Q\left(-3,5\right)$ , then

$\left(\text{Abscissa of }of\, P \right) - \left(\text{Abscissa of }Q\right)$ is

0%
$-5$
0%
$1$
0%
$-1$
0%
$-2$

Explanation

Abscissa of

$P \left(-2,3\right) = -2$

Abscissa of

$Q \left(-3,5\right) = -3$

$\left(\text{Abscissa of } P \right) - \left(\text{Abscissa of }Q\right) = -2 - \left(-3\right) = -2 + 3 = 1$

Hence,

$\left(B \right)$ is the correct answer.

CBSE Questions for Class 9 Maths Coordinate Geometry Quiz 7 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

CBSE Questions for Class 9 Maths Coordinate Geometry Quiz 7 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

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