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Coordinate Geometry Test - 5

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Coordinate Geometry Test - 5

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Question 1
1 / -0

On which axis does the point (-7, 0) lie?

A
Positive x–axis

B
Positive y–axis

C
Negative x–axis

D
Negative y–axis

Solution

As (–7, 0) (x, y), where x coordinate is -7, i.e. negative and y coordinate is 0, so the point (–7, 0) lies on the negative x-axis.
Question 2
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The horizontal axis in the Cartesian plane is the

A
z–axis

B
x–axis

C
y–axis

D
w–axis

Solution

In the Cartesian plane, the x-axis is the horizontal axis.
Question 3
1 / -0

On which axis does the point (- 5, 0) lie?

A
Negative x–axis

B
Positive y–axis

C
Positive x–axis

D
Negative y–axis

Solution

Point (- 5, 0) corresponds to (x, y).
Here, x-coordinate is - 5, i.e. negative and y-coordinate is 0.
So, the point (- 5, 0) lies on the negative x-axis.
Question 4
1 / -0

The vertical axis in the Cartesian plane is ______.

A
y-axis

B
x-axis

C
z-axis

D
none of these

Solution

The vertical (standing) axis of a Cartesian plane is y-axis.
Question 5
1 / -0

The horizontal and vertical axis drawn on the plane divides the whole plane into _______.

A
quadratics

B
quarks

C
quadrates

D
quadrants

Solution

The horizontal and vertical axis drawn on the plane divides the whole plane into quadrants.
Question 6
1 / -0

In which of the following quadrants does the point (–5, –4) lie?

A
I

B
II

C
III

D
IV

Solution

(–5, –4) Both x and y coordinates are negative.
When x < 0 and y < 0, the point lies in the third quadrant.
So, the point (–5, –4) lies in the third quadrant.
Question 7
1 / -0

On which axis does the point lie?

A
Negative x–axis

B
Positive y–axis

C
Positive x–axis

D
Negative y–axis

Solution

As the point
Here, x co-ordinate is , which is negative and y co-ordinate is 0.
So, the point lies on the negative x-axis.
Question 8
1 / -0

What do we call the point where the horizontal and the vertical axis meet in the Cartesian plane?

A
Origin

B
Orient

C
Original

D
Originate

Solution

The meeting point of two axes in the Cartesian plane is called origin (0, 0).
Question 9
1 / -0

In which of the following quadrants does the point lie?

A
IV

B
I

C
II

D
III

Solution

The point is .
It corresponds to (x, y).
When x > 0 and y < 0, the point lies in the 4^th quadrant.
So, the point lies in the 4^th quadrant.
Question 10
1 / -0

On which axis does the point (0, –11) lie?

A
Negative x–axis

B
Negative y–axis

C
Positive x–axis

D
Positive y–axis

Solution

The point is (0, –11)(x, y).
Here, x-coordinate is 0 and y-coordinate is –11.
So, the point lies on the negative y-axis.
Question 11
1 / -0

The perpendicular distance of the point (6, –5) from the x-axis is _______.

A
–5 units

B
5 units

C
6 units

D
–6 units

Solution

The perpendicular distance of the point (6, –5) from the x-axis will be y-coordinate but with a positive sign as distance is never negative.
So, the perpendicular distance of (6, –5) from the x-axis is 5 units.
Question 12
1 / -0

On which axis does the point (0, 3) lie?

A
Positive x–axis

B
Positive y–axis

C
Negative y–axis

D
Negative x–axis

Solution

The point (0, 3) (x, y)
Here, the x-coordinate is 0 and the y-coordinate is 3.
The point (0, 3) lies on the positive y-axis.
Question 13
1 / -0

If (a, b) be any point in the Cartesian plane, then `b` is called ______.

A
abscissa

B
x-axis

C
ordinate

D
y-axis

Solution

The y co-ordinate is also known as ordinate and b is the y co-ordinate of point (a, b).
So, `b` is called ordinate.
Question 14
1 / -0

In which of the following quadrants does the point (17, 9) lie?

A
1^st quadrant

B
2^nd quadrant

C
3^rd quadrant

D
4^th quadrant

Solution

The point is (17, 9) (x, y)
Here, x > 0 and y > 0 and if x is positive and y is positive, then the point lies in the 1^st quadrant.
So, point (17, 9) lies in the first quadrant.
OR
The sign of co-ordinate of a point is (+, +), which lies in 1^st quadrant.
So, (17, 9) lies in the first quadrant.
Question 15
1 / -0

On which axis does the point (8, 0) lie?

A
Negative y–axis

B
Positive y–axis

C
Positive x–axis

D
Negative x–axis

Solution

As the point is (8, 0)
(8, 0) (x, y)
Here, x-coordinate is 8 which is greater than 0 and y-coordinate is 0, and when y-coordinate is 0, then the point lies on x–axis.
As the x-coordinate is greater than 0, the point (8, 0) lies on positive x–axis.
Question 16
1 / -0

The perpendicular distance of point (– 7, 9) from the y–axis is ______.

A
– 7 units

B
7 units

C
9 units

D
– 9 units

Solution

The perpendicular distance from y–axis of any point is x co-ordinate but distance is always positive.
So, the perpendicular distance of (– 7, 9) from y–axis is 7 units.
Question 17
1 / -0

In which of the following quadrants does the point (11, – 15) lie?

A
1^st quadrant

B
2^nd quadrant

C
3^rd quadrant

D
4^th quadrant

Solution

The point is (11, – 15).
Here, x-coordinate is 11 > 0 and y-coordinate is – 15 < 0, and the signs of the coordinates are (+, –),
which lie in the 4^th quadrant.
So, the point (11, – 15) lies in the 4^thquadrant.
Question 18
1 / -0

On which axis does the point (0, 6) lie?

A
Negative x–axis

B
Negative y–axis

C
Positive x–axis

D
Positive y–axis

Solution

When x-coordinate is 0, the point lies on the y–axis.
The point (0, 6) lies on the positive y–axis.
Question 19
1 / -0

The perpendicular distance of (13, 12) from y–axis is ______.

A
13 units

B
–13 units

C
12 units

D
–12 units

Solution

The perpendicular distance from y–axis of any point is x co-ordinate, but the distance can never be negative.
So, the perpendicular distance of (13, 12) from y–axis is 13.
Question 20
1 / -0

In which of the following quadrants does the point (– 7, 6) lie?

A
1^st quadrant

B
2^nd quadrant

C
3^rd quadrant

D
4^th quadrant

Solution

The point is (– 7, 6).
Here, x co-ordinate is – 7 < 0 and y co-ordinate is 6 > 0
i.e. x < 0 and y > 0, and when x is negative and y is positive, then the point lies in 2^nd quadrant.
So, the point (– 7, 6) lies in the 2^nd quadrant.
Question 21
1 / -0

On which axis does the point (7, 0) lie?

A
Negative y–axis

B
Positive y–axis

C
Positive x–axis

D
Negative x–axis

Solution

As the point is (7, 0),
(7, 0) (x, y)
Here, x co-ordinate is 7 which is positive and y co-ordinate is 0,
and when y co-ordinate is 0, then the point lies on x–axis.
So, the point (7, 0) lies on positive x–axis.
Question 22
1 / -0

In which of the following quadrants does the point lie?

A
3^rd quadrant

B
1^st quadrant

C
2^nd quadrant

D
4^th quadrant

Solution

The point is .
Here, x-coordinate is , which is negative, and y-coordinate is , which is also negative.
i.e. x < 0 and y < 0
When x < 0 and y < 0, the point lies in the third quadrant.
So, the point lies in the third quadrant.
Question 23
1 / -0

The perpendicular distance of (- 2, - 4) from the x-axis is ______.

A
- 4 units

B
- 2 units

C
2 units

D
4 units

Solution

The perpendicular distance of a point (- 2, - 4) from x-axis will be y co-ordinate but with a positive sign, as the distance is never negative.
So, the perpendicular distance of (- 2, - 4) from x-axis is 4 units.
Question 24
1 / -0

On which axis does the point (0, – 3) lie?

A
Negative x–axis

B
Negative y–axis

C
Positive y–axis

D
Positive x–axis

Solution

The point is (0, – 3).
Here, y co-ordinate is – 3, which is negative
and when x co-ordinate is zero, then the point lies on y-axis.
So, the point (0, – 3) lies on the negative y-axis.
Question 25
1 / -0

In which of the following quadrants does the point (– 2, 5) lie?

A
4^th quadrant

B
2^nd quadrant

C
1^st quadrant

D
3^rd quadrant

Solution

The point is (– 2, 5).
Here, x-co-ordinate is – 2 < 0 and y co-ordinate is 5 > 0.
And when x < 0 and y > 0 in the point (x, y), then the point lies in the second quadrant.
So, the point (– 2, 5) lies in the 2^nd quadrant.
OR
The signs of the co-ordinates of point are (–, +), which lies in the 2^nd quadrant.
So, the point (– 2, 5) lies in the 2^nd quadrant.
Question 26
1 / -0

The perpendicular distance of (11, –9) from the x–axis is

A
11 units

B
–11 units

C
9 units

D
–9 units

Solution

The perpendicular distance of the point (11, –9) from the x-axis will be y coordinate of the point, but with a positive sign as the distance is never negative.
So, the perpendicular distance of (11, –9) from the x-axis is 9 units.
Question 27
1 / -0

In which of the following quadrants does the point (7, 3) lie?

A
2^nd quadrant

B
3^rd quadrant

C
1^st quadrant

D
4^th quadrant

Solution

The point is (7, 3) (x, y)
Here, x > 0 and y > 0,
and when x > 0 and y > 0, the point (x, y) lies in the first quadrant.
Then, the point (7, 3) lies in the 1^st quadrant.
Question 28
1 / -0

On which axis does the point (6, 0) lie?

A
Negative y-axis

B
Negative x-axis

C
Positive y-axis

D
Positive x-axis

Solution

As the point is (6, 0),
(6, 0) (x, y)
Here, x co-ordinate is 6, which is positive and y co-ordinate is 0.
When y co-ordinate of a point is 0, then the point lies on x-axis.
So, the point (6, 0) lies on positive x-axis.
Question 29
1 / -0

In which of the following quadrants does the point (4, – 8) lie?

A
2^nd quadrant

B
3^rd quadrant

C
1^st quadrant

D
4^th quadrant

Solution

The point is (4, – 8).
Here, x co-ordinate is 4 > 0 and y co-ordinate is – 8 < 0.
When x > 0 and y < 0, then the point (x, y) lies in the 4^thquadrant.
So, the point (4, – 8) lies in the fourth quadrant.
OR
The signs of co-ordinates of point are (+, –), which lies in the 4^th quadrant.
So, the point (4, – 8) lies in the 4^thquadrant.
Question 30
1 / -0

In which of the following quadrants does the point (– 7, – 9) lie?

A
1^st quadrant

B
2^nd quadrant

C
3^rd quadrant

D
4^th quadrant

Solution

The point is (– 7, – 9).
Here, x co-ordinate is – 7, which is negative
and y co-ordinate is – 9, which is also negative.
When x < 0 and y < 0, then the point (x, y) lies in the third quadrant.
So, the point (– 7, – 9) lies in the third quadrant.
OR
The signs of co-ordinates of the point are (–, –), which lies in the 3^rd quadrant.
So, the point (– 7, – 9) lies in the third quadrant.
Question 31
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point D?

A
(11, –6)

B
(–6, 11)

C
(11, 6)

D
(–11, 6)

Solution

Since ordered pair is written in the order (x, y), where x = x coordinate of that point and y = y coordinate of that point, so the ordered pair for point D is (11, –6).
Question 32
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point E?

A
(11, – 3)

B
(3, 11)

C
(– 11, – 3)

D
(11, 3)

Solution

Because ordered pair representing any point is written as (x, y), where x = x-coordinate of that point and y = y-coordinate of that point.
The ordered pair representing the point E is (11, 3).
Question 33
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point B?

A
(3, 0)

B
(0, 3)

C
(– 3, 0)

D
(0, – 3)

Solution

The point B lies on y-axis; so the x-coordinate must be zero and y-coordinate must be 3.
Thus, the ordered pair representing the point B is (0, 3).
Question 34
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point A?

A
(–8, –7)

B
(7, –8)

C
(8, –7)

D
(–8, 7)

Solution

Because ordered pair representing any point is written as (x, y), where x = x-coordinate of that point and y = y-coordinate of that point.
The ordered pair representing the point A is (–8, 7).
Question 35
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point C?

A
(10, 8)

B
(–10, –8)

C
(–8, –10)

D
(8, 10)

Solution

The ordered pair representing C is (–10, –8) as the ordered pairs are written in the order (x, y),
Where x = x-coordinate of the point and y = y-coordinate of the point.
Question 36
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point H?

A
(– 12, 5)

B
(5, – 12)

C
(5, 12)

D
(– 5, 12)

Solution

The ordered pair representing point H is (5, – 12) as ordered pairs are written in the order (x, y),
where x = x-coordinate of the point and y = y-coordinate of the point.
Question 37
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point I?

A
(3, 13)

B
(13, 3)

C
(–3, –13)

D
(–3, 13)

Solution

As the ordered pair representing a point is written as (x, y), where x = x-coordinate of the point and y = y-coordinate of the point.
Then, the ordered pair representing I is (3, 13).
Question 38
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point F?

A
(10, -6)

B
(6, -10)

C
(-6, 10)

D
(6, 10)

Solution

As the ordered pair for any point is written in the form (x, y), where x = x co-ordinate of the point and y = y co-ordinate of the point.
Then, the ordered pair representing F is given by (-6, 10).
Question 39
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point J?

A
(6, 6)

B
(6, - 6)

C
(- 6, 6)

D
(- 6, - 6)

Solution

As the ordered pair representing any point is given by (x, y), where x = x co-ordinate of the point and y = y co-ordinate of the point.
Then, the ordered pair representing J is given by (6, 6).
Question 40
1 / -0

Directions For Questions

Directions: Study the given graph and answer the question.

...view full instructions

Which of the following ordered pairs represents the point G?

A
(- 10, - 5)

B
(- 5, - 10)

C
(5, 10)

D
(5, - 10)

Solution

As the ordered pair representing any point is given by (x, y), where x = x co-ordinate of that point and y = y co-ordinate of that point.
Then, the ordered pair representing G is given by (- 5, - 10).

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