The correct option is C 1 : 1
Every point on the line represented by the equation x = 2 can be expressed as (2, y) where y is the y-coordinate.
Let (2, y) be the point on the line represented by the equation x = 2 which divides the line joining the points A(-1, 2) and B(5, 7).
Let the required ratio be k : 1.
The coordinates of the point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n are
(n×x1+m×x2m+n,n×y1+m×y2m+n)
⇒2=5k+1(−1)k+1
⇒2k+2=5k−1
⇒3k=3
⇒k=1
Therefore, the required ratio is 1:1.