This is a Test of Mathematics Solution Subjective 78 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
For real numbers ,
and
, show that
.
Applying Ravi transformation
,
and
.
Our inequality reduces to .
.
Now we know, .
Applying this we get
L.H.S =
=
= R.H.S (proved)
This is a Test of Mathematics Solution Subjective 78 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
For real numbers ,
and
, show that
.
Applying Ravi transformation
,
and
.
Our inequality reduces to .
.
Now we know, .
Applying this we get
L.H.S =
=
= R.H.S (proved)