I. 3x²-13x+14=0

II. 3y²-17y+22=0

I. x²=81

II. y²+13y+36=0

A bag contains 6 red, 5 yellow and 3 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are red in colour

A vessel contains a mixture of milk and water in the respective ratio 3:1. 32 litre of mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture was 4 : 1 respectively. If 10 litre of mixture is again taken out from the vessel. What is the resultant quantity of water in the mixture ? (in litre)

Area of a rectangle is 96 m². When the length of the same rectangle increased by 6 m and the breadth decreased by 3 m, then the area of the rectangle decreases by 30 m². What is the perimeter of a square whose sides are equal to the length of rectangle

A vessel contains a mixture of apple, orange and mango juices in the respective ratio of 3 : 5 : 4. 12 litre of this mixture is taken out and 8 litre of apple juice is added to the mixture. If the respective quantities of apple juice and orange juice in the vessel are equal, what was the initial quantity of mixture in the vessel? (in litre)