Home » A straight line passes through the point P(1,2) and Q (5,8). Calculate the length PQ

A straight line passes through the point P(1,2) and Q (5,8). Calculate the length PQ

A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
  • A.
    (4sqrt{11})
  • B.
    (4sqrt{10})
  • C.
    (2sqrt{17})
  • D.
    (2sqrt{13})
Correct Answer: Option D
Explanation

|PQ| = (sqrt{(x_2 – X- 1) + (y_2 – y_1)^2})
= (sqrt{(5 – 1)^2 + (8 – 2)^2})
= (sqrt{4^2 + 6^2})
= (sqrt{16 + 36})
= (sqrt{52})
= 2(sqrt{13})