Coordinate Geometry Test

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Coordinate Geometry Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

The point $$(0,3)$$ lies on:

A
$$+$$ve $$x$$-axis

B
$$+$$ve $$y$$-axis

C
$$-$$ve $$x$$-axis

D
$$-$$ve $$y$$-axis

Solution

Given, the point is $$(0,3)$$
Since the $$x$$-coordinate being $$0$$, the point clearly lies on the $$y$$-axis.
The $$y$$-coordinate $$3$$ being positive, the point lies on the $$+$$ve $$y$$-axis.

Therefore, option $$B$$ is correct.
Question 2
1 / -0

The coordinates of a point on ____ are of the form $$(0, y).$$

A
$$Y\;-\;\text{axis}$$

B
$$X\;-\;\text{axis}$$

C
Both $$A$$ and $$B$$

D
None of the Above

Solution

Since the $$x$$ coordinate of the point is $$0$$, this implies that for any value of $$y$$ the point $$(0,y)$$ will lie on the $$Y\;-\;\text{axis}.$$
Question 3
1 / -0

The horizontal axis is called ______ axis.

A
y-axis

B
x-axis

C
Ambiguous

D
Data insufficient

Solution

The horizontal axis is called x-axis.
Question 4
1 / -0

Which of the following statements is true?

A
The $$x-$$axis is a vertical line.

B
The $$y-$$axis is a horizontal line.

C
The scale on both axes must be the same in a Cartesian plane.

D
The point of intersection between the $$x-$$axis and $$y-$$axis is called the origin.

Solution

Let us investigate the options.
Option A: $$\longrightarrow $$ Any point on the $$x-$$axis is $$(x,0)$$. $$x-$$axis is horizontal.
So, option A is incorrect.
Option B: $$\longrightarrow $$ Any point on the $$y-$$axis is $$(0,y)$$. $$y-$$axis is vertical.
So, option B is incorrect.
Option C: $$\longrightarrow $$ We can choose any convenient scale on $$x-$$axis and $$y-$$axis.
So, option C is incorrect.
Option D:
$$X-$$axis & $$Y-$$axis are perpendicular to each other and they intersect at O which is the origin.
Question 5
1 / -0

The point (-6, 0) lies on _______ axis.

A
$$y$$-axis

B
$$x$$-axis

C
Both axes

D
None of these

Solution

Given point $$(-6,0)$$.
Here, the abscissa or $$x$$-coordinate is $$-6$$ and the ordinate or $$y$$-coordinate is $$0$$.
We know, any point on the $$x$$-axis has the form $$(a,0)$$ and any point on the $$y$$-axis has the form $$(0,a)$$, where $$a$$ is any number.
Clearly, the given point is of the form $$(a,0)$$.
Hence, it lies on the $$x$$-axis.
Therefore, option $$B$$ is correct.
Question 6
1 / -0

The point $$(0, 0)$$ lies on ______ axis.

A
$$X$$-axis

B
$$Y$$-axis

C
Both axes

D
None of these

Solution

We know, the co-ordinates of the point of intersection of $$x$$-axis and $$y$$-axis is called the origin.
Also, the two axes intersect each other when $$x=0$$ and $$y=0$$.
That is, the co-ordinates of the origin is $$(0,0) $$.
Hence, the given point is the origin.
Then, the origin lies in both the axes $$x$$ and $$y$$.
Therefore, option $$C$$ is correct.
Question 7
1 / -0

State the quadrant in which the coordinate $$(15, -2)$$ lies:

A
$$I$$

B
$$IV$$

C
$$II$$

D
$$III$$

E
none of these

Solution

Given point is $$(15,-2)$$.
We know,
In $$I^{st}$$ quadrant, both $$x$$ and $$y$$ are positive,
In $$II^{nd}$$ quadrant, $$x$$ is negative and $$y$$ is positive,
In $$III^{rd}$$ quadrant, both $$x$$ and $$y$$ are negative
and in $$IV^{th}$$ quadrant, $$x$$ is positive and $$y$$ is negative.
In $$(15,-2)$$, $$x$$ is positive and $$y$$ is negative.
Therefore, $$(15,-2)$$ lies in $$IV^{th}$$ quadrant.
Option $$B$$ is correct.
Question 8
1 / -0

In which quadrant does the point $$(2, 7)$$ lie?

A
$$I$$ quadrant

B
$$II$$ quadrant

C
$$III$$ quadrant

D
$$IV$$ quadrant

Solution

Given, $$(2,7)$$.

Here, both the $$x$$-coordinate and $$y$$-coordinate are positive.

Therefore, $$(2,7)$$ lies in $$1$$st quadrant.

Hence, option $$A$$ is correct.
Question 9
1 / -0

The point $$(0,8)$$ lies on ______ axis.

A
$$X$$-axis

B
$$Y$$-axis

C
Both axes

D
None of these

Solution

We know, in the $$xy$$-plane, any point on the $$y$$-axis will have $$x =0$$.
Hence, any point on the $$y$$-axis is of the form $$(0,y)$$, where $$y$$ can be any non-zero number.
Therefore, any point whose $$x$$-coordinate is $$0$$ and $$y$$-coordinate is non-zero will lie on the $$y$$-axis.

Here, the given point is $$(0,8)$$ is of the form $$(0,y)$$, where $$y=8$$.
and therefore lies on the $$y$$-axis.
Hence, option $$B$$ is correct.
Question 10
1 / -0

If abscissa and ordinate of a point are $$-$$ve and $$+$$ve respectively, then in which quadrant does this point lie?

A
$$II$$ quadrant.

B
$$I$$ quadrant.

C
$$III$$ quadrant.

D
$$IV$$ quadrant.

Solution

When the abscissa is negative and ordinate is positive, the point lies in the second quadrant.

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Re-Attempt Weekly Quiz Competition

Coordinate Geometry Test - 21

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Coordinate Geometry Test - 21

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Question 1

$$+$$ve $$x$$-axis

$$+$$ve $$y$$-axis

$$-$$ve $$x$$-axis

$$-$$ve $$y$$-axis

Solution

Question 2

$$Y\;-\;\text{axis}$$

$$X\;-\;\text{axis}$$

Both $$A$$ and $$B$$

None of the Above

Solution

Question 3

y-axis

x-axis

Ambiguous

Data insufficient

Solution

Question 4

The $$x-$$axis is a vertical line.

The $$y-$$axis is a horizontal line.

The scale on both axes must be the same in a Cartesian plane.

The point of intersection between the $$x-$$axis and $$y-$$axis is called the origin.

Solution

Question 5

$$y$$-axis

$$x$$-axis

Both axes

None of these

Solution

Question 6

$$X$$-axis

$$Y$$-axis

Both axes

None of these

Solution

Question 7

$$I$$

$$IV$$

$$II$$

$$III$$

none of these

Solution

Question 8

$$I$$ quadrant

$$II$$ quadrant

$$III$$ quadrant

$$IV$$ quadrant

Solution

Question 9

$$X$$-axis

$$Y$$-axis

Both axes

None of these

Solution

Question 10

$$II$$ quadrant.

$$I$$ quadrant.

$$III$$ quadrant.

$$IV$$ quadrant.

Solution

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