Coordinate Geometry Test

Result

Coordinate Geometry Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

Ordinate of all points on $$x$$-axis is:

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

Coordinate of all points on $$x$$-axis is of the form $$(x,0)$$.
Therefore, clearly the ordinate will be $$0$$.
Hence, option $$A$$ is correct.
Question 2
1 / -0

The point which lies on $$y$$-axis and at a distance of $$2$$ units in negative direction of $$y$$-axis is _____

A
$$(0, 0)$$

B
$$(0, 2)$$

C
$$(0, -2)$$

D
$$(-2, 0)$$

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 $$2$$ units in the negative direction of $$y$$-axis,
So, its ordinate will be $$-2$$.
Hence, the co-ordinates of the required point are $$(0,-2)$$.

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

In which quadrant will point $$(-3, -4)$$ lie?

A
$$I$$

B
$$II$$

C
$$III$$

D
$$IV$$

Solution

Both the abscissa and ordinate are negative. So, it will lie in $$III$$ quadrant.
So, option $$C$$ is correct.
Question 4
1 / -0

Which of the following points lies in $$III$$ quadrant?

A
$$(1, 3)$$

B
$$(-1, 3)$$

C
$$(+1, -3)$$

D
$$(-1, -3)$$

Solution

In the $$III$$ quadrant, both abscissa and ordinate are negative.
So, option $$D$$ is correct
Question 5
1 / -0

The sign of abscissa and ordinate of point in $$II$$ quadrant is

A
$$(+, +)$$

B
$$(-, -)$$

C
$$(+, -)$$

D
$$(-, +)$$

Solution

In $$II$$ quadrant, abscissa is $$-$$ve but ordinate is positive.
So, option $$D$$ is correct.
Question 6
1 / -0

In the graph, which point represents co-ordinates $$(-2, 0)$$.

A
$$P$$

B
$$Q$$

C
$$R$$

D
$$S$$

Solution

Distance from $$y$$-axis $$= 0$$ (i.e. the point lies on the $$x$$-axis)
Distance from $$x$$-axis $$= -2$$, being negative lies in the negative $$x$$-axis.

Therefore, $$R$$ is the required point.

Hence, option $$C$$ is correct.
Question 7
1 / -0

In which quadrant will point $$(2, -1)$$ lie?

A
$$I$$

B
$$II$$

C
$$III$$

D
$$IV$$

Solution

For the given point Abscissa 2 is positive, but ordinate -1 is negative. So, it will lie in $$IV$$ quadrant.
So, option $$D$$ is correct.
Question 8
1 / -0

Which of the following points lie on $$x$$-axis?

A
$$(1, 3)$$

B
$$(0, 6)$$

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

D
$$(6, 0)$$

Solution

We know, in the $$xy$$ - plane, any point on the $$x$$ - axis will have its ordinate equal to zero.

Hence, any point on the $$x$$ - axis will be of the form $$(x,0)$$, where $$x$$ can be any number.

Here, the point $$(6,0)$$ is of the form $$(x,0)$$.
Therefore, option $$D$$ is correct.
Question 9
1 / -0

Point $$(0, -3)$$ lies on:

A
$$+$$ve $$X$$-axis

B
$$-$$ve $$X$$-axis

C
$$+$$ve $$Y$$-axis

D
$$-$$ve $$Y$$-axis

Solution
Question 10
1 / -0

If the perpendicular distance of a point $$P$$ in a plane from $$x$$-axis is $$2$$ units and from $$y$$-axis is $$7$$ units, then its abscissa is:

A
$$0$$

B
$$2$$

C
$$7$$

D
None of the above

Solution

We know, in the $$xy$$-plane, any point is of the form $$(x,y)$$, where $$x,y$$ can be any non-zero number.
Here, the $$x$$-coordinate or the abscissa is the perpendicular distance of the point from the $$y$$-axis.
Also, the $$y$$-coordinate or the ordinate is the perpendicular distance of the point from the $$x$$-axis.

Here, the perpendicular distance of the point from $$x$$-axis is $$2$$ units and from $$y$$-axis is $$7$$ units.
Hence, the abscissa is $$7$$.
Therefore, option $$C$$ is correct.

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Re-Attempt Weekly Quiz Competition

Coordinate Geometry Test - 22

Result

Coordinate Geometry Test - 22

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SHARING IS CARING

Question 1

$$0$$

$$1$$

$$2$$

$$3$$

Solution

Question 2

$$(0, 0)$$

$$(0, 2)$$

$$(0, -2)$$

$$(-2, 0)$$

Solution

Question 3

$$I$$

$$II$$

$$III$$

$$IV$$

Solution

Question 4

$$(1, 3)$$

$$(-1, 3)$$

$$(+1, -3)$$

$$(-1, -3)$$

Solution

Question 5

$$(+, +)$$

$$(-, -)$$

$$(+, -)$$

$$(-, +)$$

Solution

Question 6

$$P$$

$$Q$$

$$R$$

$$S$$

Solution

Question 7

$$I$$

$$II$$

$$III$$

$$IV$$

Solution

Question 8

$$(1, 3)$$

$$(0, 6)$$

$$(-2, -3)$$

$$(6, 0)$$

Solution

Question 9

$$+$$ve $$X$$-axis

$$-$$ve $$X$$-axis

$$+$$ve $$Y$$-axis

$$-$$ve $$Y$$-axis

Solution

Question 10

$$0$$

$$2$$

$$7$$

None of the above

Solution

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