Coordinate Geometry Test

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Coordinate Geometry Test - 25

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Weekly Quiz Competition

Question 1
1 / -0

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

A
I, II

B
I, IV

C
I only

D
IV only

Solution

Abscissa is $$X$$-coordinate. Its positive in first and fourth quadrants.
Question 2
1 / -0

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

A
$$(+, -)$$

B
$$(-, +)$$

C
$$(+, +)$$

D
$$(-, -)$$

Solution

As $$A(x,y)$$ lie in $$'iii'$$ Quadrant
both $$x$$ and $$y$$ will be negative i.e, $$(-,-)$$
Question 3
1 / -0

$$A$$ is a point on $$x$$-axis at a distance $$4$$ units from $$y$$-axis to its left.
The co-ordinates of $$A$$ are:

A
$$(4,\,0)$$

B
$$(0,\,4)$$

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

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

Solution

$$A$$ 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.
Question 4
1 / -0

On which quadrant does $$P$$ lie if its ordinate is $$5$$ and the abscissa is $$-3$$?

A
$$I$$

B
$$II$$

C
$$III$$

D
$$IV$$

Solution

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.
Question 5
1 / -0

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

A
in $$I$$ quadrant

B
in $$II$$ quadrant

C
on $$X$$-axis

D
on $$Y$$-axis

Solution

On $$X$$-axis, the $$y$$-coordinate of any point is always $$0$$.
So, option $$C$$ is correct.
Question 6
1 / -0

Which statement is true?

A
The x-axis is a vertical line

B
The point $$(-2 , 3)$$ lies in the III quadrant

C
Origin is the point of intersection of the x-axis and y-axis

D
The point $$(-3, -4)$$ lies in the II quadrant

Solution

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 .
Question 7
1 / -0

Which option represent a point on the $$y$$-axis?

A
$$(7, 0)$$

B
$$(6, 5)$$

C
$$(5, 3)$$

D
$$(0, 5)$$

Solution

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.
Question 8
1 / -0

The point $$(-5,4)$$ lie in _____________

A
The first quadrant

B
The second quadrant

C
The third quadrant

D
The fourth quadrant

Solution

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
Question 9
1 / -0

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 _____________

A
$$10$$

B
$$12$$

C
$$22$$

D
$$120$$

Solution

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.
Question 10
1 / -0

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

A
$$(+,-)$$

B
$$(-,+)$$

C
$$(+,+)$$

D
$$(-,-)$$

Solution

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.

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Re-Attempt Weekly Quiz Competition

Coordinate Geometry Test - 25

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Coordinate Geometry Test - 25

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SHARING IS CARING

Question 1

I, II

I, IV

I only

IV only

Solution

Question 2

$$(+, -)$$

$$(-, +)$$

$$(+, +)$$

$$(-, -)$$

Solution

Question 3

$$(4,\,0)$$

$$(0,\,4)$$

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

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

Solution

Question 4

$$I$$

$$II$$

$$III$$

$$IV$$

Solution

Question 5

in $$I$$ quadrant

in $$II$$ quadrant

on $$X$$-axis

on $$Y$$-axis

Solution

Question 6

The x-axis is a vertical line

The point $$(-2 , 3)$$ lies in the III quadrant

Origin is the point of intersection of the x-axis and y-axis

The point $$(-3, -4)$$ lies in the II quadrant

Solution

Question 7

$$(7, 0)$$

$$(6, 5)$$

$$(5, 3)$$

$$(0, 5)$$

Solution

Question 8

The first quadrant

The second quadrant

The third quadrant

The fourth quadrant

Solution

Question 9

$$10$$

$$12$$

$$22$$

$$120$$

Solution

Question 10

$$(+,-)$$

$$(-,+)$$

$$(+,+)$$

$$(-,-)$$

Solution

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