1.

यदि `x^(2)=y+z,y^(2)=z+x,z^(2)=x+y` है तो `1/(x+1)+1/(y+1)+1/(z+1)` का मान क्या होगा?A. -1B. 1C. 2D. 41

Answer» Correct Answer - B
`x^(2)=y+z`
`y^(2)=z+x`
`z^(2)=x+y`
`implies x^(2)+x=x+y+z`
Adding `x` on both sides
`x(x+1)=x+y+z`
`1/((x+1))=x/(x+y+z)`
Similarly
`1/(y+1)=y/(x+y+z)` and `1/(z+1)`
`=z/(x+y+z)`
`:. 1/(x+1)+1/(y+1)+1/(1+z)`
`=x/(x+y+z)+y/(x+y+z)+z/(x+y+z)`
`=(x+y+z)/(x+y+z)=1`


Discussion

No Comment Found

Related InterviewSolutions