Q. Calculate the distance between the points (1, 2) and (1, 5).
Solution
Using the distance formula: d = √[(1 - 1)² + (5 - 2)²] = √[0 + 9] = √9 = 3.
Correct Answer: A — 3
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Q. Calculate the distance between the points (6, 8) and (2, 3).
Solution
Using the distance formula: d = √[(2 - 6)² + (3 - 8)²] = √[16 + 25] = √41.
Correct Answer: B — 6
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Q. Determine the distance between the points (2, 3) and (2, -1).
Solution
Using the distance formula: d = √[(2 - 2)² + (-1 - 3)²] = √[0 + 16] = √16 = 4.
Correct Answer: A — 4
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Q. Find the distance between the points (-1, -1) and (2, 2).
Solution
Using the distance formula: d = √[(2 - (-1))² + (2 - (-1))²] = √[9 + 9] = √18 = 3√2.
Correct Answer: C — 5
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Q. Find the distance between the points (-2, -3) and (4, 5).
Solution
Using the distance formula: d = √[(4 - (-2))² + (5 - (-3))²] = √[(4 + 2)² + (5 + 3)²] = √[36 + 64] = √100 = 10.
Correct Answer: B — 7
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Q. Find the distance between the points (0, 0) and (x, y) where x = 6 and y = 8.
Solution
Using the distance formula: d = √[(6 - 0)² + (8 - 0)²] = √[36 + 64] = √100 = 10.
Correct Answer: A — 10
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Q. What is the distance between the points (0, 0) and (3, 4)?
Solution
Using the distance formula: d = √[(3 - 0)² + (4 - 0)²] = √[9 + 16] = √25 = 5.
Correct Answer: A — 5
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Q. What is the distance between the points (3, 7) and (3, 1)?
Solution
Using the distance formula: d = √[(3 - 3)² + (1 - 7)²] = √[0 + 36] = √36 = 6.
Correct Answer: A — 6
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Q. What is the distance between the points (5, 5) and (1, 1)?
Solution
Using the distance formula: d = √[(1 - 5)² + (1 - 5)²] = √[16 + 16] = √32 = 4√2.
Correct Answer: A — 4√2
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