If the moving points a (x1, Y1) and B (X2, Y2) move on the line L1: x + Y-7 = 0 and L2: x + Y-5 = 0 respectively, the minimum distance from the midpoint m of line AB to the origin is () A. 23B. 33C. 32D. 42

If the moving points a (x1, Y1) and B (X2, Y2) move on the line L1: x + Y-7 = 0 and L2: x + Y-5 = 0 respectively, the minimum distance from the midpoint m of line AB to the origin is () A. 23B. 33C. 32D. 42

The trace of point m is a straight line L parallel to the straight lines L1 and L2 with equal distance to L1 and L2, so the equation is x + y-6 = 0, and the minimum distance from m to the origin is d = 62 = 32