Correct Answer - Option 2 : 3
Given:
Points (6, 7) and (A, 4)
Distance between points = √18 units
Formula Used:
(Distance)2 = (x1 – x2)2 + (y1 – y2)2
Calculation:
(Distance)2 = (x1 – x2)2 + (y1 – y2)2
⇒ (√18)2 = (6 – A)2 + (7 – 4)2
⇒ 18 = (6 – A)2 + 32
⇒ (6 – A)2 = 18 – 9
⇒ (6 – A)2 = 9
Take square root on both the sides
⇒ (6 – A) = 3
⇒ A = 6 – 3
⇒ A = 3
∴ The value of A is 3.