1.

यदि `x=2015, y=2014` और `z=2013` है तो `x^(2)+y^(2)+z^(2)-xy-yz-xz` का मान क्या है?A. 3B. 4C. 6D. 2

Answer» Correct Answer - A
`x=2015`
`y=2014`
`z=2013`
`=x^(2)+y^(2)+z^(2)-xy-yz-zx=`
`1/2[(x-y)^(2)+(y-z)^(2)+(z-x)^(2)]`
`= 1/2[(2015-2014)^(2)+(2014`
`-2013)^(2)+(2013-2015)^(2)]`
`=1/2(1+1+4)=3`


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