1.

Statement 1 The sum of the products of numberspm a_(1),pma_(2),pma_(3),"....."pma_(n) taken two at a time is -sum_(i=1)^(n)a_(i)^(2). Statement 2 The sum of products of numbers a_(1),a_(2),a_(3),"....."a_(n) taken two at a time is denoted by sum_(1le iltjlen)suma_(i)a_(j).

Answer»

Statement 1 is TRUE, Statement 2 is true, Statement 2 is a correct explanation for Statement 1
Statement 1 is true, Statement 2 is true, Statement 2 ISNOT a correct explanation for Statement 1
Statement 1 is true, Statement 2 is false
Statement 1 isfalse, Statement 2 istrue

Solution :Statement 1 Let S be the required sum of product of numbers.
`(sum_(i=1)^(N)x_(i))^(2)=sum_(i=1)^(n)x_(i)^(2)+2sum_(1leiltjlen)sumx_(i)x_(j)`
`:.(a_(1)-a_(1)+a_(2)-a_(2)+"...."+a_(n)-a_(n))^(2)=2sum_(i=1)^(n)a_(i)^(2)+25`
`:. S=-sum_(i=1)^(n)a_(i)^(2)`
`:.` Statement 1 is true.
Statement 2 is true but not correct explanation for Statement 1.


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