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Question (31)

QN008919

Find the distance between the points (5, –2) and (1, –5).

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

Correct Answer: C

Explanation:

Distance = √

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Question (32)

QN008920

A point lies in Quadrant III if

(A) both coordinates are positive
(B) x positive and y negative
(C) x negative and y positive
(D) both coordinates are negative

Correct Answer: D

Explanation:

In Quadrant III, both x and y coordinates are negative.

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Question (33)

QN008921

The coordinates of a point are (–7, y). If the point lies on the x-axis, then y equals

(A) –7
(B) 7
(C) 0
(D) 1

Correct Answer: C

Explanation:

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

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Question (34)

QN008922

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

(A) 6 units
(B) 7 units
(C) 8 units
(D) 10 units

Correct Answer: C

Explanation:

Distance = |3 – (–5)| = 8 units.

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Question (35)

QN008923

Which point lies in Quadrant I?

(A) (–9, 1)
(B) (2, 7)
(C) (–3, –2)
(D) (4, –8)

Correct Answer: B

Explanation:

In Quadrant I, both coordinates are positive.

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Question (36)

QN008924

The point obtained by reflecting (–4, 6) in the y-axis is

(A) (–4, –6)
(B) (4, 6)
(C) (4, –6)
(D) (–6, 4)

Correct Answer: B

Explanation:

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

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Question (37)

QN008925

The distance between the points (1, 1) and (4, 5) is

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

Correct Answer: C

Explanation:

Distance = √

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Question (38)

QN008926

Which statement about the point (0, –6) is correct?

(A) It lies in Quadrant IV
(B) It lies on x-axis
(C) It lies on negative y-axis
(D) It lies in Quadrant III

Correct Answer: C

Explanation:

x = 0 and y is negative, so it lies on the negative y-axis.

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Question (39)

QN008927

The point (a, a) always lies on the line

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

Correct Answer: C

Explanation:

Both coordinates are equal, so the point lies on x = y.

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Question (40)

QN008928

If the distance between two points on the y-axis is 13 units and one point is (0, 5), the other point can be

(A) (13, 5)
(B) (0, –8)
(C) (5, 0)
(D) (–13, 0)

Correct Answer: B

Explanation:

Distance = |5 – (–8)| = 13 units.

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Question (31)

Find the distance between the points (5, –2) and (1, –5).

Explanation:

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Question (32)

A point lies in Quadrant III if

Explanation:

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Question (33)

The coordinates of a point are (–7, y). If the point lies on the x-axis, then y equals

Explanation:

Link:

Question (34)

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

Explanation:

Link:

Question (35)

Which point lies in Quadrant I?

Explanation:

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Question (36)

The point obtained by reflecting (–4, 6) in the y-axis is

Explanation:

Link:

Question (37)

The distance between the points (1, 1) and (4, 5) is

Explanation:

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Question (38)

Which statement about the point (0, –6) is correct?

Explanation:

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Question (39)

The point (a, a) always lies on the line

Explanation:

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Question (40)

If the distance between two points on the y-axis is 13 units and one point is (0, 5), the other point can be

Explanation:

Link:

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