Directions (next five questions) : In these questions, two equations numbered I and II are given. You have to solve both the equations and
I. 2x2-11x+14=0
II. 2y2-7y+6=0
2x2-7x-4x+14=0
x(2x-7)-2(2x-7)=0
(x-2)(2x-7)=0
x=2,7/2
II. 2y2-7y+6
2y2-4y-3y+6=0
2y(y-2)-3(y-2)=0
(y-2)(2y-3)=0
y=2,3/2
∴
x ≥ y
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