a question from iit 2006

Let θ[0,45] and t1=tanθtanθ, t2=tanθcotθ, t3=cotθtanθ, t4=cotθcotθ, then:

a)t1>t2>t3>t4
b)t4>t3>t1>t2
c)t3>t1>t2>t4
d)t2>t3>t1>t4

2 Answers

62
Lokesh Verma ·

First of all notice that tanθ<1 while cotθ>1

Now can you try to figure out more??

What is the value of xy if x is >1 and y>1 or x<1, y>1 or x>1, y<1 and x<1, y<1

These will be the 4 cases you have..

I hope you have sufficient meat to figure out the rest yourself?

btw.. after a small private talk with prophet sir.. which i din observe.. the options are all incorrect...

1
chessenthus ·

Yes,yes prophet sir told me about the mistake...there was a mistake only in the second option which was taken care of as soon as prophet sir told me about it..... and the rest will have to be incorrect inorder to have only one correct answer...

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