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CBSE Questions for Class 9 Maths Coordinate Geometry Quiz 4 - MCQExams.com
CBSE
Class 9 Maths
Coordinate Geometry
Quiz 4
If $$A(x, y)$$ lies in the III quadrant, what are the signs of $$x$$ and $$y$$?
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$$(+, -)$$
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$$(-, +)$$
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$$(+, +)$$
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$$(-, -)$$
Explanation
As $$A(x,y)$$ lie in $$'iii'$$ Quadrant
both $$x$$ and $$y$$ will be negative i.e, $$(-,-)$$
If $$Q(x, y)$$ lies in the fourth quadrant which of the following is correct?
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$$x$$ is positive
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$$x$$ is negative
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$$y$$ is positive
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$$y$$ is negative
Explanation
Any point in the fourth quadrant is of the form $$(+,-)$$
If $$Q(x,y)$$ is in fourth quadrant
then, $$x$$ is positive and
$$y$$ is negative
Which quadrant(s) have points with a positive abscissa?
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I, II
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I, IV
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I only
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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:
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$$(4,\,0)$$
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$$(0,\,4)$$
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$$(-4,\,0)$$
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$$(0,\,-4)$$
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 $$-3$$?
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$$I$$
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$$II$$
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$$III$$
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$$IV$$
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.
If $$y$$-coordinate of a point is zero then the point will always lie
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in $$I$$ quadrant
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in $$II$$ quadrant
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on $$X$$-axis
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on $$Y$$-axis
Explanation
On $$X$$-axis, the $$y$$-coordinate of any point is always $$0$$.
So, option $$C$$ is correct.
Which statement is true?
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The x-axis is a vertical line
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The point $$(-2 , 3)$$ lies in the III quadrant
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Origin is the point of intersection of the x-axis and y-axis
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The point $$(-3, -4)$$ lies in the II quadrant
Explanation
i) The x-axis ,a line parallel to it is called horizontal line
ii) The point (-2,3) lies in II Quadrant
iii) Origin is the point of intersecting of x-axis and y-axis
iv) The point (-3,-4) lies in III quadrant .
Which option represent a point on the $$y$$-axis?
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$$(7, 0)$$
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$$(6, 5)$$
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$$(5, 3)$$
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$$(0, 5)$$
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:
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(-4, 2)
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(-2, -2)
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(0, 5)
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(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 _____________
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The first quadrant
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The second quadrant
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The third quadrant
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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 _____________
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$$10$$
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$$12$$
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$$22$$
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$$120$$
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 ______________
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$$(+,-)$$
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$$(-,+)$$
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$$(+,+)$$
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$$(-,-)$$
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.
$$(-5, 3)$$
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abscissa :$$ -5$$
ordinate : $$3$$
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abscissa :$$ 5$$
ordinate : $$3$$
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abscissa :$$ -5$$
ordinate : $$-3$$
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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.
$$(4, -8)$$
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abscissa : $$4$$
ordinate : $$-8$$
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abscissa : $$3$$
ordinate : $$-8$$
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abscissa : $$2$$
ordinate : $$-8$$
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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
$$(5, -3)$$
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$$Q_4$$
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$$Q_3$$
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$$Q_2$$
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$$Q_1$$
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
$$(-2, 3)$$
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$$Q_2$$
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$$Q_3$$
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$$Q_4$$
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$$Q_1$$
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.
$$(0, 0)$$
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abscissa : $$0$$
ordinate : $$0$$
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abscissa : $$4$$
ordinate : $$0$$
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abscissa : $$0$$
ordinate : $$4$$
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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.
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True
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False
Explanation
Since, both $$x$$ and $$y$$ coordinates are positive.
Hence, $$(5,7)$$ will lies on first quadrant.
Find the quadrant or axis on/in which the following point lies.
$$(-1, -1)$$
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$$I$$
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$$II$$
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$$III$$
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None of these
Explanation
Let point $$A(x,y)=(-1,-1)$$.
since both $$x$$ and $$y$$ are negative, so $$A$$ lies on $$III$$ quadrant.
Find the quadrant or axis on/in which the following point lies.
$$(0, 0)$$
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$$I$$
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$$II$$
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$$III$$
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Origin
Explanation
Point $$(0,0)$$ is known as the origin of the coordinate system.
Find the quadrant or axis on/in which the following point lies.
$$(7, 0)$$
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$$III$$
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$$II$$
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x-axis
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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.
Find the quadrant or axis on/in which the following point lies.
$$(5, 2)$$
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$$I$$
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$$II$$
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$$III$$
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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.
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True
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False
Explanation
If a point lies above the X-axis then it's y co-ordinate must be positive. In this point, this is not the case.
Therefore, given statement is FALSE.
State whether the following statement is true/false.
For any point on the x-axis, its y-coordinate is zero.
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True
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False
Explanation
All the points which lies on $$x-axis$$ have $$y-coordinate=0$$.
So the given statement is $$True$$.
State whether the following statement is true/false.
$$(0, 3)$$ is a point on x-axis.
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True
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False
Explanation
since $$x=0$$, so the point $$A(0,3)$$ will lies on $$y-axis$$.
Write down the abscissa for the following point:
$$(-7, 2)$$
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$$-7$$
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$$1$$
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$$2$$
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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.
Find the quadrant or axis on/in which the following point lies.
$$(4, -5)$$
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$$I$$
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$$IV$$
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$$III$$
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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.
Find the quadrant or axis on/in which the following point lies.
$$(8, -7)$$
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$$I$$
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$$II$$
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$$IV$$
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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.
Write down the ordinate of the following point.
$$(7, -4)$$
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$$-4$$
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$$4$$
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$$7$$
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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.
$$(-5, -3)$$
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$$-5$$
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$$5$$
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$$-3$$
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None of these
Explanation
Abscissa is the $$x–coordinate$$ of any point $$A(x, y)$$.
So, abscissa of point $$(–5, –3)$$ is $$–5$$.
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