The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
-
A.
10(sqrt{2}) -
B.
4(sqrt{5}) -
C.
5(sqrt{2}) -
D.
2(sqrt{5})
Correct Answer: Option D
Explanation
p(4, 3) Q(2 – 1)
distance = (sqrt{(x_2 – x_1)^2 + (Y_2 – y_1)^2})
= (sqrt{(2 – 4)^2 + (-1 – 3)^2})
= (sqrt{(-2)^2 = (-4)^2})
= (sqrt{4 + 16})
= (sqrt{20})
= (sqrt{4 times 5})
= 2(sqrt{5})