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Find the distance between the following pairs of points:
(i) (2, 3), (4, 1) (ii) (– 5, 7), (– 1, 3) (iii) (a, b), (– a, – b)
Asked by Sreedhar Last Modified
Answer 
(i) Distance between two points (x1, y1) and (x2, y2) is given as:
√{(x2 – x1)2 + (y2 – y1)2}
Therefore, the distance between two points (2, 3) and (4, 1) is
D = √{(4 – 2)2 + (1 - 3)2}
=> D = √{22 + (-2)2}
=> D = √{4 + 4}
=> D = √8
=> D = 2√2
(ii) Distance between two points (x1, y1) and (x2, y2) is given as:
√{(x2 – x1)2 + (y2 – y1)2}
Therefore, the distance between two points (2, 3) and (4, 1) is
D = √{(-1 + 5)2 + (3 - 7)2}
=> D = √{42 + (-4)2}
=> D = √{16 + 16}
=> D = √32
=> D = 4√2
(iii) Distance between two points (x1, y1) and (x2, y2) is given as:
√{(x2 – x1)2 + (y2 – y1)2}
Therefore, the distance between two points (2, 3) and (4, 1) is
D = √{(-a - a)2 + (-b - b)2}
=> D = √{(-2a)2 + (-2b)2}
=> D = √{4a2 + 4b2}
=> D = 2√(a2 + b2)
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Related Questions
(i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0)
(ii) (–3, 5), (3, 1), (0, 3), (–1, – 4)
(iii) (4, 5), (7, 6), (4, 3), (1, 2)
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