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Question (11)

QN0026536

The point obtained after reflecting (7, –4) in the x-axis is

(A) (–7, –4)
(B) (7, 4)
(C) (–7, 4)
(D) (4, 7)

Correct Answer: B

Explanation:

Reflection in x-axis changes the sign of y-coordinate.

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Question (12)

QN0026537

Find the distance between (1, –1) and (7, 7).

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

Correct Answer: C

Explanation:

Distance = √

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Question (13)

QN0026538

Which statement is correct about the point (0, 0)?

(A) It lies in Quadrant I
(B) It lies on the x-axis only
(C) It lies on the y-axis only
(D) It is the origin

Correct Answer: D

Explanation:

(0, 0) is called the origin.

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Question (14)

QN0026539

The midpoint of the line segment joining (2, 6) and (8, 10) is

(A) (4, 6)
(B) (5, 8)
(C) (6, 8)
(D) (10, 16)

Correct Answer: B

Explanation:

Midpoint = ((2+8)/2, (6+10)/2).

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Question (15)

QN0026540

The distance between the points (–2, –5) and (4, 3) is

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

Correct Answer: C

Explanation:

Distance = √

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Question (16)

QN0026541

A point lies on the negative y-axis if

(A) x > 0 and y = 0
(B) x = 0 and y < 0
(C) x < 0 and y = 0
(D) x > 0 and y < 0

Correct Answer: B

Explanation:

Negative y-axis contains points with x = 0 and negative y.

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Question (17)

QN0026542

Which pair of points are symmetric about the y-axis?

(A) (3, 5) and (–3, 5)
(B) (4, –2) and (4, 2)
(C) (–6, 1) and (6, –1)
(D) (2, 2) and (–2, –2)

Correct Answer: A

Explanation:

Symmetry about y-axis changes sign of x-coordinate only.

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Question (18)

QN0026543

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

(A) 15 units
(B) 16 units
(C) 17 units
(D) 18 units

Correct Answer: C

Explanation:

Distance = √(15² + 8²) = 17 units.

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Question (19)

QN0026544

A point has equal x-coordinate and y-coordinate. It must lie on the line

(A) x = 0
(B) y = 0
(C) x = y
(D) x = –y

Correct Answer: C

Explanation:

Equal coordinates satisfy x = y.

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Question (20)

QN0026545

The vertices of a rectangle are (1, 1), (7, 1), (7, 5), and (1, 5). What is the length of its diagonal?

(A) 8 units
(B) 9 units
(C) 10 units
(D) √52 units

Correct Answer: D

Explanation:

Diagonal = √

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Question (11)

The point obtained after reflecting (7, –4) in the x-axis is

Explanation:

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Question (12)

Find the distance between (1, –1) and (7, 7).

Explanation:

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Question (13)

Which statement is correct about the point (0, 0)?

Explanation:

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Question (14)

The midpoint of the line segment joining (2, 6) and (8, 10) is

Explanation:

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Question (15)

The distance between the points (–2, –5) and (4, 3) is

Explanation:

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Question (16)

A point lies on the negative y-axis if

Explanation:

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Question (17)

Which pair of points are symmetric about the y-axis?

Explanation:

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Question (18)

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

Explanation:

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Question (19)

A point has equal x-coordinate and y-coordinate. It must lie on the line

Explanation:

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Question (20)

The vertices of a rectangle are (1, 1), (7, 1), (7, 5), and (1, 5). What is the length of its diagonal?

Explanation:

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