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Question (31)

QN008969

The distance between points A(3, 5) and B(9, 13) is

(A) 8 units
(B) 9 units
(C) 10 units
(D) 12 units

Correct Answer: C

Explanation:

Distance = √

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Question (32)

QN008970

Which of the following statements is true?

(A) Distance can be negative
(B) Distance is always positive or zero
(C) Distance depends only on x-coordinate
(D) Distance depends only on y-coordinate

Correct Answer: B

Explanation:

Distance is always non-negative.

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Question (33)

QN008971

Find the distance between (–2, –3) and (4, 5).

(A) 8 units
(B) 9 units
(C) 10 units
(D) 11 units

Correct Answer: C

Explanation:

Distance = √

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Question (34)

QN008972

A ladder touches a wall at a point 12 ft above the ground and its foot is 5 ft from the wall. The ladder length is

(A) 11 ft
(B) 12 ft
(C) 13 ft
(D) 14 ft

Correct Answer: C

Explanation:

Using Pythagoras theorem, length = √(12² + 5²) = 13 ft.

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Question (35)

QN008973

The distance between the points (0, 0) and (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 (36)

QN008974

If the coordinates of two points are interchanged, the distance between them

(A) changes
(B) becomes zero
(C) remains same
(D) becomes double

Correct Answer: C

Explanation:

Interchanging coordinates does not change distance.

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Question (37)

QN008975

Find the distance between (1, –2) and (4, 2).

(A) 3 units
(B) 4 units
(C) 5 units
(D) 6 units

Correct Answer: C

Explanation:

Distance = √

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Question (38)

QN008976

Which of the following distances is irrational?

(A) Distance between (0, 0) and (3, 4)
(B) Distance between (0, 0) and (1, 1)
(C) Distance between (0, 0) and (5, 12)
(D) Distance between (0, 0) and (8, 15)

Correct Answer: B

Explanation:

Distance = √2, which is irrational.

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Question (39)

QN008977

The distance between (–8, –15) and (0, 0) is

(A) 15 units
(B) 16 units
(C) 17 units
(D) 23 units

Correct Answer: C

Explanation:

Distance = √

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Question (40)

QN008978

Two cities are represented by points (2, 3) and (14, 8) on a map. The straight-line distance between them is

(A) 11 units
(B) 12 units
(C) 13 units
(D) 14 units

Correct Answer: C

Explanation:

Distance = √

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Question (31)

The distance between points A(3, 5) and B(9, 13) is

Explanation:

Link:

Question (32)

Which of the following statements is true?

Explanation:

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Question (33)

Find the distance between (–2, –3) and (4, 5).

Explanation:

Link:

Question (34)

A ladder touches a wall at a point 12 ft above the ground and its foot is 5 ft from the wall. The ladder length is

Explanation:

Link:

Question (35)

The distance between the points (0, 0) and (9, 12) is

Explanation:

Link:

Question (36)

If the coordinates of two points are interchanged, the distance between them

Explanation:

Link:

Question (37)

Find the distance between (1, –2) and (4, 2).

Explanation:

Link:

Question (38)

Which of the following distances is irrational?

Explanation:

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Question (39)

The distance between (–8, –15) and (0, 0) is

Explanation:

Link:

Question (40)

Two cities are represented by points (2, 3) and (14, 8) on a map. The straight-line distance between them is

Explanation:

Link:

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