Coordinate Geometry Test

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Coordinate Geometry Test - 27

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Weekly Quiz Competition

Question 1
1 / -0

Find the quadrant or axis on/in which the following point lies.
$$(7, 0)$$

A
$$III$$

B
$$II$$

C
x-axis

D
None of these

Solution

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.
Question 2
1 / -0

Find the quadrant or axis on/in which the following point lies.
$$(5, 2)$$

A
$$I$$

B
$$II$$

C
$$III$$

D
None of these

Solution

Let point $$A(x,y)=(5,2)$$.
since both $$x$$ and $$y$$ are positive, so $$A$$ lies in $$I$$ quadrant.
Question 3
1 / -0

Write down the abscissa for the following point:
$$(-7, 2)$$

A
$$-7$$

B
$$1$$

C
$$2$$

D
None of these

Solution

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.
Question 4
1 / -0

Find the quadrant or axis on/in which the following point lies.
$$(4, -5)$$

A
$$I$$

B
$$IV$$

C
$$III$$

D
None of these

Solution

Let point $$A(x,y)=(4,-5)$$.
since $$x$$ is positive and $$y$$ is negative, so $$A$$ lies on $$IV$$ quadrant.
Question 5
1 / -0

Find the quadrant or axis on/in which the following point lies.
$$(8, -7)$$

A
$$I$$

B
$$II$$

C
$$IV$$

D
None of these

Solution

Let point $$A(x,y)=(8,-7)$$.
since, $$x-$$coordinate is positive and $$y-$$coordinate is negative, the point lies on $$IV$$ quadrant.
Question 6
1 / -0

Write down the ordinate of the following point.
$$(7, -4)$$

A
$$-4$$

B
$$4$$

C
$$7$$

D
None of these

Solution

The ordinate is the $$y$$–coordinate of any point.
So, the ordinate of point $$(7, –4)$$ is $$–4.$$
Question 7
1 / -0

Write down the abscissa for the following point.
$$(-5, -3)$$

A
$$-5$$

B
$$5$$

C
$$-3$$

D
None of these

Solution

Abscissa is the $$x–coordinate$$ of any point $$A(x, y)$$.
So, abscissa of point $$(–5, –3)$$ is $$–5$$.
Question 8
1 / -0

The point $$(0,6)$$ lies on:

A
x-axis

B
y-axis

C
Origin

D
None

Solution

The given point is $$(0,6)$$.
Hence, its x-coordinate is $$0$$ and y-coordinate is $$6$$.
We know that, x-coordinate of a point is the perpendicular distance of the point from $$y-axis$$ and y-coordinate is the perpendicular distance from the $$x-axis$$.
Hence, the given point is at $$0$$ units distance from $$y-axis$$ and $$6$$ units distance from the $$x-axis$$.

Therefore, the point lies on $$y-axis$$.
Question 9
1 / -0

In the given figure, the point identified by the coordinates $$\left(-5,3\right)$$ is

A
T

B
R

C
L

D
S

Solution

Clearly, point T lies in the fourth quadrant. The distance of T from the y-axis is $$3$$ unit and from the x-axis is $$5$$ units below the x-axis. So, the point identified by the coordinate $$\left(-5,3\right)$$ is T.
Question 10
1 / -0

A point both of whose coordinates are negative will lie in

A
$$I $$ quadrant

B
$$II$$ quadrant

C
$$III$$ quadrant

D
$$IV$$ quadrant

Solution

A point both of whose coordinates are whose coordinates are negative will lie in $$III$$ quadrant because, in $$III$$ quadrant x - coordinates and y - coordinate both are negative.
Hence, $$\left(C\right)$$ is the correct answer.