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