Answer :

The given lines are


2x – y = 0 ------------- (1)


4x + 7y + 5 = 0 --------------- (2)


A(1,2) is a point on line (1).


Let B be the point of intersection of lines (1) and (2).



So, solving equations (1) and (2), we get,


x = and y =


Thus, coordinates of point B are


So, according to distance formula, the distance between points A and B can be obtained as


AB = units


= units


= units


= units


= units


= units


= units


= units


Therefore, the required distance is units


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