Given that two points a and B are on the line 2x-y = 0 and X + 2Y = 0 respectively, and the midpoint of AB segment is p (0,5), then the length of AB segment is______ ．

Given that two points a and B are on the line 2x-y = 0 and X + 2Y = 0 respectively, and the midpoint of AB segment is p (0,5), then the length of AB segment is______ ．

It is known that the slopes of two straight lines 2x-y = 0 and X + 2Y = 0 are: K1 = 2, K2 = − 12, | k1k2 = - 1, | the two lines are perpendicular to each other, | line AB is the hypotenuse of the right triangle OAB, and P is the midpoint of the hypotenuse. According to the properties of the right triangle, | ab | = 2 | Po | = 10

Through point a (- 1,1) as a straight line L is cut by two parallel lines X + 2y-1 = 0 and X + 2y-3 = 0, the midpoint of the line segment is on the straight line x-y-1 = 0, and the equation of the straight line L is obtained

First find the intersection of x-y-1 = 0 and two parallel lines, and then find the midpoint