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Question (1)

QN0026526

A treasure map marks a point 6 units east and 8 units north of the origin. What is its distance from the origin?

(A) 8 units
(B) 10 units
(C) 12 units
(D) 14 units

Correct Answer: B

Explanation:

Distance = √(6² + 8²) = 10 units.

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Question (2)

QN0026527

Which of the following points lies exactly on the y-axis?

(A) (5, 0)
(B) (0, –9)
(C) (4, 7)
(D) (–3, 5)

Correct Answer: B

Explanation:

Any point on the y-axis has x-coordinate equal to 0.

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Question (3)

QN0026528

The coordinates of a point are (–4, 7). In which quadrant does the point lie?

(A) Quadrant I
(B) Quadrant II
(C) Quadrant III
(D) Quadrant IV

Correct Answer: B

Explanation:

x is negative and y is positive.

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Question (4)

QN0026529

The distance between the points (2, 5) and (2, –7) is

(A) 10 units
(B) 11 units
(C) 12 units
(D) 14 units

Correct Answer: C

Explanation:

Distance = |5 − (−7)| = 12 units.

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Question (5)

QN0026530

Which ordered pair represents a point in Quadrant IV?

(A) (–5, –2)
(B) (3, –7)
(C) (–8, 6)
(D) (4, 5)

Correct Answer: B

Explanation:

In Quadrant IV, x is positive and y is negative.

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Question (6)

QN0026531

The distance between the origin and the point (9, 12) is

(A) 13 units
(B) 14 units
(C) 15 units
(D) 16 units

Correct Answer: C

Explanation:

Distance = √(9² + 12²) = 15 units.

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Question (7)

QN0026532

If a point lies on the x-axis, then its y-coordinate is always

(A) 1
(B) –1
(C) 0
(D) equal to x-coordinate

Correct Answer: C

Explanation:

Every point on the x-axis has y-coordinate equal to 0.

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Question (8)

QN0026533

Find the distance between the points (–3, 4) and (5, 4).

(A) 6 units
(B) 7 units
(C) 8 units
(D) 9 units

Correct Answer: C

Explanation:

Distance = |5 − (−3)| = 8 units.

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Question (9)

QN0026534

Which of the following points lies in Quadrant III?

(A) (–6, –2)
(B) (5, –3)
(C) (–7, 8)
(D) (4, 6)

Correct Answer: A

Explanation:

Both coordinates are negative in Quadrant III.

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Question (10)

QN0026535

A point is 5 units left of the y-axis and 3 units above the x-axis. Its coordinates are

(A) (5, 3)
(B) (–5, 3)
(C) (5, –3)
(D) (–3, 5)

Correct Answer: B

Explanation:

Left of y-axis means negative x-coordinate.

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Question (1)

A treasure map marks a point 6 units east and 8 units north of the origin. What is its distance from the origin?

Explanation:

Link:

Question (2)

Which of the following points lies exactly on the y-axis?

Explanation:

Link:

Question (3)

The coordinates of a point are (–4, 7). In which quadrant does the point lie?

Explanation:

Link:

Question (4)

The distance between the points (2, 5) and (2, –7) is

Explanation:

Link:

Question (5)

Which ordered pair represents a point in Quadrant IV?

Explanation:

Link:

Question (6)

The distance between the origin and the point (9, 12) is

Explanation:

Link:

Question (7)

If a point lies on the x-axis, then its y-coordinate is always

Explanation:

Link:

Question (8)

Find the distance between the points (–3, 4) and (5, 4).

Explanation:

Link:

Question (9)

Which of the following points lies in Quadrant III?

Explanation:

Link:

Question (10)

A point is 5 units left of the y-axis and 3 units above the x-axis. Its coordinates are

Explanation:

Link:

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