Coordinate Geometry Test

Result

Coordinate Geometry Test - 17

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Question 1
1 / -0

The points $$(5, 2)$$ and $$(2, 5)$$ lie in the

A
Same quadrant

B
$$II$$ and $$III$$ quadrants respectively

C
$$II$$ and $$IV$$ quadrants respectively

D
$$IV$$ and $$II$$ quadrants respectively

Solution

The points are $$(5,2)$$ and $$ (2,5)$$.
The signs of the abscissae are same (positive) and the signs of the ordinates are same (positive).
Therefore, they both lie in the first quadrant (same quadrant).
Question 2
1 / -0

If $$y$$ coordinate of a point is zero, then this point always lies:

A
In $$I$$ quadrant

B
In $$II$$ quadrant

C
On $$x$$-axis

D
On $$y$$-axis

Solution

Given, the $$y$$-coordinate is zero.
$$\therefore$$ the abscissa can be any number $$x$$ and the ordinate is $$0$$.
Then, the point is $$(x,0)$$, when $$x$$ may take any value, i.e. $$x$$ may take positive or negative value.
$$\therefore$$ the point $$(x,0)$$ lies on the $$x$$ axis.

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

The point $$( 10, 0)$$ lies:

A
To the positive direction and on the $$x$$-axis

B
On the negative direction of the $$y$$-axis

C
In the third quadrant

D
In the fourth quadrant

Solution

The coordinates of the given point are $$(10,0)$$, i.e. the ordinate is $$0$$.
We know, the coordinates of a point in the form $$(x,0)$$ lies in the $$x$$-axis.

$$\therefore (10,0)$$ lie on the $$x$$-axis.

Here, the abscissa is $$10$$, and is positive.

$$\therefore $$ $$(10,0)$$ lies on the positive direction of the $$x$$-axis.

Therefore, option $$A$$ is correct.
Question 4
1 / -0

The point at which the two coordinate axes meet is called the

A
Abscissa

B
Ordinate

C
Origin

D
Quadrant
Question 5
1 / -0

Abscissa of all the points on the $$x$$-axis is,

A
$$0$$

B
$$1$$

C
$$2$$

D
Any number

Solution

The coordinate of any point in the $$X$$ axis is $$(X,0)$$.
When $$X$$ can take any value.
So, abscissa of any point on the $$X$$ axis is any number.
Question 6
1 / -0

Points $$(1, 1), (2, 2), (4, 5), ( 3, 4)$$ lie

A
In $$II$$ quadrant

B
In $$III$$ quadrant

C
In $$IV$$ quadrant

D
In $$I$$ quadrant.

Solution

Given points are $$(1,1),(2,2),(4,5),(3,4)$$
Both the coordinates of given points are positive.
If both the coordinates are positive, then the points lie in $$\text{I}$$ quadrant.
Thus, the given points lie in $$\text{I}$$ quadrant.
Hence, option D is correct.
Question 7
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

In the third quadrant the $$(x,y)$$ co-ordinates are negative,
So, the given point will lie in the third quadrant.
Question 8
1 / -0

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

A
$$0$$

B
$$1$$

C
$$-1$$

D
Any number

Solution

We know, the coordinates of $$x$$-axis is $$(x,0)$$.
Then, the coordinates of any point on the $$x$$-axis is $$(x,0)$$,
where the abscissa is $$x$$ and the ordinate is $$0$$.
Therefore, the ordinate of any point on the $$x$$-axis is $$0$$.

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

In which quadrant does $$(-1,-1)$$ lie?

A
First

B
Second

C
Third

D
Fourth

Solution

As per the image, the points having both coordinates negative will lie in third quadrant.
Hence, option C is correct.
Question 10
1 / -0

The coordinates of a point whose abscissa is $$5$$ and which lies on the $$x$$-axis is:

A
$$(5,0)$$

B
$$(0,5)$$

C
$$(0,0)$$

D
$$(5,5)$$

Solution

Let the required point be $$P$$.
Given, the point lies on the $$x$$-axis.
$$\therefore$$ The ordinate of $$P$$ is $$0$$.
Also, its abscissa is $$5$$.
$$\therefore$$ The co-ordinates of point $$P$$ are $$P(5,0)$$ .

Hence, option $$A$$ is correct.