EWT | Academic Question

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Question (41)
QN008929
A rectangular park has corners at (1, 2), (6, 2), (6, 7), and (1, 7). The length of each side parallel to the x-axis is
  • (A) 3 units
  • (B) 4 units
  • (C) 5 units
  • (D) 7 units

Correct Answer: C
Explanation:

Length = |6 – 1| = 5 units.

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Question (42)
QN008930
Which of the following points are symmetric about the x-axis?
  • (A) (4, 5) and (–4, 5)
  • (B) (3, –2) and (–3, –2)
  • (C) (6, 7) and (6, –7)
  • (D) (2, 2) and (–2, –2)

Correct Answer: C
Explanation:

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

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Question (43)
QN008931
The distance between the points (–1, –1) and (2, 3) is
  • (A) 4 units
  • (B) 5 units
  • (C) 6 units
  • (D) 7 units

Correct Answer: B
Explanation:

Distance = √

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Question (44)
QN008932
A city map uses perpendicular North–South and East–West roads. This arrangement is an example of
  • (A) fraction system
  • (B) coordinate system
  • (C) algebraic expression
  • (D) symmetry only

Correct Answer: B
Explanation:

Perpendicular reference lines form a coordinate system.

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Question (45)
QN008933
The point (–5, 8) is reflected in the x-axis. The image point is
  • (A) (5, 8)
  • (B) (–5, –8)
  • (C) (5, –8)
  • (D) (8, –5)

Correct Answer: B
Explanation:

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

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Question (46)
QN008934
If the coordinates of a point are interchanged and the point remains unchanged, then
  • (A) x = 0
  • (B) y = 0
  • (C) x = y
  • (D) x = –y

Correct Answer: C
Explanation:

Interchanging coordinates gives same point only when x = y.

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Question (47)
QN008935
Find the distance between (–6, 2) and (–6, –7).
  • (A) 7 units
  • (B) 8 units
  • (C) 9 units
  • (D) 13 units

Correct Answer: C
Explanation:

Distance = |2 – (–7)| = 9 units.

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Question (48)
QN008936
Which of the following cannot represent coordinates of a point in Quadrant IV?
  • (A) (3, –8)
  • (B) (7, –2)
  • (C) (–5, –1)
  • (D) (10, –9)

Correct Answer: C
Explanation:

Quadrant IV has positive x and negative y.

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Question (49)
QN008937
The midpoint of the segment joining (2, 4) and (6, 8) is
  • (A) (8, 12)
  • (B) (4, 6)
  • (C) (2, 2)
  • (D) (6, 6)

Correct Answer: B
Explanation:

Midpoint = ((2+6)/2, (4+8)/2) = (4, 6).

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Question (50)
QN008938
A point is 4 units below the x-axis and 9 units right of the y-axis. Its coordinates are
  • (A) (4, 9)
  • (B) (–9, –4)
  • (C) (9, –4)
  • (D) (–4, 9)

Correct Answer: C
Explanation:

Right of y-axis means positive x and below x-axis means negative y.

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