Question
The minimum value of 12 sin Īø + 5 cosĪø is
Solution
TheĀ minimum Ā value of a sin Īø + b cosĪøĀ =Ā Ā 
So the minimum value of 12 sin Īø + 5 cosĪø is =Ā = Ā = -13
Pipe A fills a cistern in 6 hours, but pipe B can drain the full cistern in 9 hours. If both pipes operate together, how long will it take to fill the c...
Two pipes G and H can fill a cistern in 40 minutes and 50 minutes respectively. If both are opened together, after how many minutes should pipe G be shu...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 6) hours. If the efficiency of pipe B is double of pipe A and pipe A ...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 8 hours while pipe ‘C’ takes 50 hours to empty it. ...
A and B can fill a tank in 14 and 21 hours. Pipe C can empty it in āxā hours. All three open together fill the tank in 7 hours. Find x.
A leak in the bottom of the tank can empty the full tank in 18 hours. An inlet pipe fills water at the rate of 12 liters a minutes. When the tank is ful...
Pipes 'J' and 'K' can fill a tank in 12 hours and 18 hours respectively, while pipe 'L' can empty it in 36 hours. All pipes are opened together when the...
Tap A is 100% more efficient than tap B. Both the taps together can fill the tank in 6 hours. Find the time taken by tap C, which is 50% more efficient...
Pipe āAā takes 50 hours to fill a tank. Pipe āBā takes 100 hours to empty the same tank. If they are opened together, how long will it take to ...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x ā 5) hours. If the efficiency of pipe B is double of pipe A and pipe A fill...
Relevant for Exams:
