Coordinate Geometry Test

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Coordinate Geometry Test - 20

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Weekly Quiz Competition

Question 1
1 / -0

The point $$(-2,-3)$$ belongs to Quadrant _______________

A
$$I$$

B
$$II$$

C
$$III$$

D
$$IV$$

Solution

For the point $$(-2, -3)$$, both the $$x$$-coordinate $$= -2$$ and $$y$$-coordinate $$= -3$$ are negative.
Hence the point will lie in the quadrant $$III$$.
Question 2
1 / -0

The point $$(0,-2)$$ lies on:

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

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

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

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

Solution

Given, $$(0,-2)$$.
Since the $$x$$-coordinate is $$0$$, the point clearly lies on $$y$$-axis.
Also, the $$y$$-coordinate $$-2$$ being negative, the point lies on the negative $$y$$-axis.

Therefore, option $$D$$ is correct.
Question 3
1 / -0

The coordinates of a point, which lies on $$y$$-axis and is at a distance of $$4$$ units above $$x$$-axis is ____.

A
$$(0,4)$$

B
$$(4,4)$$

C
$$(4,0)$$

D
$$(0,-4)$$

Solution

Let the required point be $$P$$.
Given, the point lies on $$y$$-axis.
Then, its abscissa is $$0$$ or $$x = 0$$.
Also, given the point is at a distance of $$4$$ units above the $$x$$-axis,
So, its ordinate will be $$+4$$.
Hence, the co-ordinates of the required point are $$(0,4)$$.
Therefore, option $$A$$ is correct.
Question 4
1 / -0

The coordinates of a point, which lies on $$x$$-axis and is at a distance of $$7$$ units to the right of the origin is ____.

A
$$(-7,0)$$

B
$$(0,7)$$

C
$$(7,0)$$

D
$$(0,-7)$$

Solution

Let the required point be $$P$$.

Given, the point lies on $$x$$-axis.

Then, its ordinate is $$0$$ or $$y = 0$$.

Also, given the point is at a distance of $$7$$ units to the right of origin.

So, its abscissa will be $$+7$$.
Hence, the co-ordinates of the required point are $$(7,0)$$.
Therefore, option $$C$$ is correct.
Question 5
1 / -0

The coordinates of a point lies on $$y$$-axis and is at a distance of $$6$$ units below $$x$$-axis is ______.

A
$$(6, 0)$$

B
$$(-6, -6)$$

C
$$(0, -6)$$

D
$$(-6, 0)$$

Solution

Let the required point be $$P$$.

Given, the point lies on $$y$$-axis.

Then, its abscissa is $$0$$ or $$x = 0$$.

Also, given the point is at a distance of $$6$$ units below the $$x$$-axis,

So, its ordinate will be $$-6$$.
Hence, the co-ordinates of the required point are $$(0,-6)$$.
Therefore, option $$C$$ is correct.
Question 6
1 / -0

The coordinates of a point, lies on $$x$$-axis and is at a distance of $$3$$ units to the left of the origin is _____.

A
$$(-3,0)$$

B
$$(0,0)$$

C
$$(3,0)$$

D
$$(0.3)$$

Solution

Let the required point be $$P$$.

Given, the point lies on $$x$$-axis.

Then, its ordinate is $$0$$ or $$y = 0$$.

Also, given the point is at a distance of $$3$$ units to the left of the origin.

So, its abscissa will be $$-3$$.
Hence, the co-ordinates of the required point are $$(-3,0)$$.
Therefore, option $$A$$ is correct.
Question 7
1 / -0

See figure and complete the following statements.
The x-coordinate and y-coordinate of the point $$M$$ are _______ and _______ respectively. Hence the coordinate of $$M$$ are

A
$$-3,4,(-3,4)$$

B
$$-2,4,(-3,4)$$

C
$$-3,2,(-3,4)$$

D
$$3,4,(-3,4)$$

Solution

The point M is at a distance of 4 units from the x - axis and 3 units from the y - axis.
It lies in the II quadrant.
Hence, the abscissa or the x-coordinate is $$-3$$, ordinate or the y-coordinate is $$4$$.
The point M is $$(-3,4)$$
Question 8
1 / -0

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

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

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

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

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

Solution

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

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

If the point $$P$$ lies on the line $$y = 7$$ and has its abscissa equal to $$-2$$, then its coordinates are ______.

A
$$P = (7, 2).$$

B
$$P = (7, -2).$$

C
$$P = (-2, 7).$$

D
$$P = (2, 7).$$

Solution

Let the required point be $$P$$.
Given, point $$P$$ lies on the line $$y = 7$$ and has its abscissa equal to $$-2$$.
We know, any point lying on the line $$y=7$$ will always have its ordinate $$= 7$$.
Therefore, coordinates of $$P = (-2, 7)$$.
Hence, option $$C$$ is correct.
Question 10
1 / -0

Observe the given figure and complete the following statement.
The $$x$$-coordinate and $$y$$-coordinate of the point $$S$$ are ______ and ______ respectively. Hence the coordinate of $$S$$ is ______.

A
$$3,-5,(3,-4)$$

B
$$3,-6,(3,-4)$$

C
$$3,4,(3,-4)$$

D
$$3,-4,(3,-4)$$

Solution

The point $$S$$ is at a distance of $$4$$ units from the $$x$$ - axis and $$3$$ units from the $$y$$ - axis., and it lies in the $$4^{th}$$ quadrant.

So, the abscissa or the $$x$$-coordinate is $$3$$ and ordinate or the $$y$$-coordinate is $$-4$$.

Thus, the coordinate of the point $$S$$ is $$(3,-4)$$.

Hence, $$Op-D$$ is correct.