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Question (21)

QN008909

The point (a, b) will lie on the x-axis if

(A) a = 0
(B) b = 0
(C) a = b
(D) a = –b

Correct Answer: B

Explanation:

Points on x-axis have y-coordinate equal to 0.

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Question (22)

QN008910

Find the distance between A(1, 2) and B(4, 6).

(A) 4 units
(B) 5 units
(C) 6 units
(D) 7 units

Correct Answer: B

Explanation:

Distance = √

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Question (23)

QN008911

Find the distance between the points (–2, 1) and (4, 9).

(A) 6 units
(B) 8 units
(C) 10 units
(D) 12 units

Correct Answer: C

Explanation:

Distance = √

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Question (24)

QN008912

A point has x-coordinate –5 and y-coordinate 8. The point lies in

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

Correct Answer: B

Explanation:

Negative x and positive y indicate Quadrant II.

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Question (25)

QN008913

Which pair of points are mirror images of each other in the y-axis?

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

Correct Answer: B

Explanation:

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

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Question (26)

QN008914

The distance between the points (–3, –4) and (0, 0) is

(A) 3 units
(B) 4 units
(C) 5 units
(D) 7 units

Correct Answer: C

Explanation:

Distance = √

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Question (27)

QN008915

If a point is reflected in the x-axis, which coordinate changes sign?

(A) x-coordinate only
(B) y-coordinate only
(C) both coordinates
(D) neither coordinate

Correct Answer: B

Explanation:

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

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Question (28)

QN008916

The point (6, –9) is how far from the x-axis?

(A) 6 units
(B) 9 units
(C) 15 units
(D) 3 units

Correct Answer: B

Explanation:

Distance from x-axis = |y| = 9 units.

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Question (29)

QN008917

The point (–8, 2) is how far from the y-axis?

(A) 2 units
(B) 6 units
(C) 8 units
(D) 10 units

Correct Answer: C

Explanation:

Distance from y-axis = |x| = 8 units.

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Question (30)

QN008918

Which point lies neither in any quadrant nor on any axis except the origin?

(A) (0, 5)
(B) (5, 0)
(C) (0, 0)
(D) (–2, 0)

Correct Answer: C

Explanation:

The origin is the intersection of both axes.

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Question (21)

The point (a, b) will lie on the x-axis if

Explanation:

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Question (22)

Find the distance between A(1, 2) and B(4, 6).

Explanation:

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Question (23)

Find the distance between the points (–2, 1) and (4, 9).

Explanation:

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Question (24)

A point has x-coordinate –5 and y-coordinate 8. The point lies in

Explanation:

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Question (25)

Which pair of points are mirror images of each other in the y-axis?

Explanation:

Link:

Question (26)

The distance between the points (–3, –4) and (0, 0) is

Explanation:

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Question (27)

If a point is reflected in the x-axis, which coordinate changes sign?

Explanation:

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Question (28)

The point (6, –9) is how far from the x-axis?

Explanation:

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Question (29)

The point (–8, 2) is how far from the y-axis?

Explanation:

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Question (30)

Which point lies neither in any quadrant nor on any axis except the origin?

Explanation:

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