Coordinate Geometry Test

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Coordinate Geometry Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Point (1, −2) lies in the

A
1st quadrant

B
2nd quadrant

C
3rd quadrant

D
4th quadrant

Solution

Every point in the 4th quadrant is of the form (+, −). The 4th quadrant is enclosed by the positive x-axis and the negative y-axis.

Thus, point (1, −2) lies in the 4th quadrant.

Hence, the correct answer is option D.
Question 2
1 / -0

What is the difference between the ordinates of the points (−2, 3) and (5, 8)?

A
3

B
5

C
7

D
10

Solution

The x-coordinate of a point is known as its abscissa, while the y-coordinate of a point is known as its ordinate.

The given points are (−2, 3) and (5, 8).

Therefore, the ordinate of the point (−2, 3) is 3, while the ordinate of the point (5, 8) is 8.

Difference = 8 − 3 = 5

Thus, the difference between the ordinates of the points (−2, 3) and (5, 8) is 5.

The correct answer is B.
Question 3
1 / -0

The horizontal and the vertical lines drawn for determining the position of any point in the Cartesian plane are, respectively, called

A
y-axis and x-axis

B
x-axis and y-axis

C
origin and quadrant

D
abscissa and ordinate

Solution

The horizontal and the vertical lines drawn for determining the position of any point in the Cartesian plane are called x-axis and y-axis, respectively. They are also called coordinate axes.
Hence, the correct answer is option B.
Question 4
1 / -0

Which of the following statements is incorrect?

A
The point (1, 6) lies in the 1st quadrant.

B
The point (0, −4) lies in the 4th quadrant.

C
The point (−5, 4) lies in the 2nd quadrant.

D
The point (−2, −3) lies in the 3rd quadrant.

Solution

If the x-coordinate and the y-coordinate of a point are positive and negative, respectively, then the point lies in the 4th quadrant.

The x-coordinate of the point (0, −4) is 0, therefore, this point lies on the y-axis.

Thus, the statement given in alternative B is incorrect.

Hence, the correct answer is option B.
Question 5
1 / -0

If the respective coordinates of points P, Q, R, and S are (6, 0), (0, 8), (3, 0), and (−4, 0), then which of the following statements is correct?

A
Point P lies on the y-axis

B
Point Q lies on the x-axis

C
Point R lies on the y-axis

D
Point S lies on the x-axis

Solution

A point that lies on the x-axis has its y-coordinate (ordinate) as 0, while a point that lies on the y-axis has its x-coordinate (abscissa) as 0.

Since the y-coordinate of points P, R, and S are 0, these points lie on the x-axis.

Since the x-coordinate of point Q is 0, it lies on the y-axis.

Hence, the statement given in alternative D is correct.

The correct answer is D.

Question 6

1 / -0

Use the following information to answer the next question.

Some statements are given as

1. The perpendicular distance of a point from the y-axis, measured along

the x-axis, is called its ordinate.

2. The perpendicular distance of a point from the y-axis, measured along the x-axis, is called its abscissa.

3. The perpendicular distance of a point from the x-axis, measured along

the y-axis, is called its ordinate.

4. The perpendicular distance of a point from the x-axis, measured along

the y-axis, is called its abscissa.

Which two given statements are correct?

4 and 1

3 and 4

2 and 3

1 and 2

Solution

The perpendicular distance of a point from the y-axis, measured along the x-axis, is called its abscissa.

The perpendicular distance of a point from the x-axis, measured along the y-axis, is called its ordinate.

Thus, statements 2 and 3 are correct.

The correct answer is C.

Question 7
1 / -0

If the x-coordinate as well as the y- coordinate of a point is negative, then this point lies in the

A
1^stquadrant

B
2^nd quadrant

C
3^rd quadrant

D
4^th quadrant

Solution

If the x-coordinate as well as the y- coordinate of a point is negative, then this point lies in the 3^rd quadrant.

The correct answer is C.
Question 8
1 / -0

Which of the following statements is correct?

A
The locations of points (2, −3) and (−3, 2) are the same.

B
The coordinates of origin are (0, 0).

C
The abscissa of point (−8, 9) is 9.

D
The ordinate of point (8, 2) is 8.

Solution

The coordinates of origin are (0, 0). The statement given in alternative B is correct.
Hence, the correct answer is option B.

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Coordinate Geometry Test - 15

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Coordinate Geometry Test - 15

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Question 1

1st quadrant

2nd quadrant

3rd quadrant

4th quadrant

Solution

Question 2

3

5

7

10

Solution

Question 3

y-axis and x-axis

x-axis and y-axis

origin and quadrant

abscissa and ordinate

Solution

Question 4

The point (1, 6) lies in the 1st quadrant.

The point (0, −4) lies in the 4th quadrant.

The point (−5, 4) lies in the 2nd quadrant.

The point (−2, −3) lies in the 3rd quadrant.

Solution

Question 5

Point P lies on the y-axis

Point Q lies on the x-axis

Point R lies on the y-axis

Point S lies on the x-axis

Solution

Question 6

4 and 1

3 and 4

2 and 3

1 and 2

Solution

Question 7

1stquadrant

2nd quadrant

3rd quadrant

4th quadrant

Solution

Question 8

The locations of points (2, −3) and (−3, 2) are the same.

The coordinates of origin are (0, 0).

The abscissa of point (−8, 9) is 9.

The ordinate of point (8, 2) is 8.

Solution

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1^stquadrant

2^nd quadrant

3^rd quadrant

4^th quadrant