Correct Answer - Option 2 :
3√2
Given:
Points (6, 7) and (3, 4)
Formula Used:
(Distance)2 = (x1 – x2)2 + (y1 – y2)2
Calculation:
(Distance)2 = (x1 – x2)2 + (y1 – y2)2
⇒ (Distance)2 = (6 – 3)2 + (7 – 4)2
⇒ (Distance)2 = (3)2 + (3)2
⇒ (Distance)2 = 9 + 9
⇒ Distance = √18
⇒ Distance = 3√2
∴ The distance between the points (6, 7) and (3, 4) is 3√2 units.