Q-1>sin2@=4xy/(x+y)2 ≤1 is true if & only if
(a) x+y=1
(b) x=y,x≠0,y≠0
(c)x=y
(d)x≠0,y≠0
Q-2>if p=2sin@/(1+cos@+sin@) & q=cos@/(1+sin @) then;
a> pq=1
b> q/p=1
c> q-p=1
d> q+p=1
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2 Answers
62 Q-1>sin2@=4xy/(x+y)2 ≤1 is true if & only if
(a) x+y=1
(b) x=y,x≠0,y≠0
(c)x=y
(d)x≠0,y≠0
4xy/(x+y) is equal to 4/(1/x+1/y)
x+y=1 .. apply AM HM you will get this inequality...