Home » Find the distance between the points ((frac{1}{2}), (frac{1}{2})) and (-(frac{1}{2}), -(frac{1}{2})).

Find the distance between the points ((frac{1}{2}), (frac{1}{2})) and (-(frac{1}{2}), -(frac{1}{2})).

Find the distance between the points ((frac{1}{2}), (frac{1}{2})) and (-(frac{1}{2}), -(frac{1}{2})).

  • A.
    1
  • B.
    o
  • C.
    √3
  • D.
    √2
Correct Answer: Option D
Explanation

Let D denote the distance between ((frac{1}{2}), -(frac{1}{2})) then using
D = (sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2})
= (sqrt{(-{frac{1}{2} – frac{1}{2}})^2 + (-{frac{1}{2} – frac{1}{2}})^2})
= (sqrt{(-1)^2 + (-1)^2})
= (sqrt{1 + 1})
= √2

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