let x belongs to (0,∏/4) and a = (tanx)^tanx ,b=(tanx)^cotx

c= (cotx)^tanx and d= (cotx)^cotx then,

1. d>c
2. b
3. c>a
4. b

(multiple choice ques)

Plz explain me how to do questions like this....

Dear Abhijat,

According to the given question,

Since  0<x<pi/4 

Therefore  0<tanx<1

Using the proberty tanx = 1/cotx,

we can write a relation between a,b ,c and d,

The correct answer is 1 and 3

Best Of luck

Cracking IIT just got more exciting,It’s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and winexciting gifts by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple click here to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert