Q) For non negative real numbers such that a subscript 1 plus a subscript 2 plus.... plus a subscript n equals p space comma space q equals sum for i less than j of a subscript i a subscript j space space t h e n space
left parenthesis A right parenthesis q less or equal than 1 half p squared space space space space space space space left parenthesis B right parenthesis q greater than 1 fourth p squared space space space left parenthesis C right parenthesis q less than p over 2 space space left parenthesis D right parenthesis q greater than p squared over 2

Asked by araima2001 | 2nd Apr, 2017, 06:01: AM

Expert Answer:

begin mathsize 16px style If space you space take space some space non space negative space real space numbers space like space 2 plus 5 plus 7
Where space straight a subscript 1 equals 2 comma space straight a subscript 2 equals 5 comma space straight a subscript 3 equals 7
then space straight p equals 14
and space straight q equals straight a subscript 1 cross times space straight a subscript 2 plus straight a subscript 1 cross times straight a subscript 3 plus straight a subscript 2 cross times straight a subscript 3 space space space left parenthesis As space straight i less than straight j right parenthesis
space space space space space space space space space space equals 2 cross times 5 plus 2 cross times 7 plus 5 cross times 7 space space space
space space space space space space space space space equals 10 plus 14 plus 35
space space space space space space space space space straight q equals 59
straight p equals 14 space and space straight q equals 59 space now space you space can space check space which space inequality space holds space in space this.
The space answer space is space straight q greater than 1 fourth straight p squared.
The space option space is space straight B. end style

Answered by Sneha shidid | 3rd Apr, 2017, 01:45: PM