Ram takes his colony image from a parachute. In his view, his house is pointed out by a flag, which is situated at the point of the intersection of \(x\) and \(y\)-axes. If he go \(1 \ cm\) east and \(4 \ cm\) north from his house, then he reach a grocery store. If he go \( 6 \ cm\) west and \(7 \ cm\) south from the house, then he reach an electrician's shop. If he go \(2 \ cm\) east and \(9 \ cm\) south from the house, then he reach for a food cart. If he go \( 2 \ cm\) west and \( 9 \ cm\) north from his house, then he reach of a bus stand.
Based on the above information, answer the following questions.
1. The distance between grocery store and food cart is
2. The distance of the bus stand from the house is
3. The ratio of distance of houses from bus stand to food cart is
4. The coordinates of positions of bus stand, grocery store, food cart and electrician's shop form a