1 if x2 = y + zy2 = Z + x, Z2 = x +...
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1 if x2 = y + zy2 = Z + x, Z2 = x + y, then the value of is X+1 y +1 2+1 (A) - 1 (B) 1 (D) 4 (C) 2

JEE/Engineering Exams
Maths
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Civen ( x^{2}=4+z, y^{2}=z+x, z^{2}=x+y ) ( frac{1}{1+x}+frac{1}{1+y}+frac{1}{1+z} ) ( frac{1+x-x}{1+x}+frac{1+y-y}{1+y}+frac{1+z-z}{1+z} ) ( 1-frac{x}{1+x}+1-frac{y}{1+y}+1=frac{z}{1+z} ) ( 3-left(frac{x}{1+x}+frac{y}{1+y}+frac{z}{1+z}right) ) ( 3-left(frac{x^{2}}{x+x^{2}}+frac{y^{2}}{y^{2}+y^{2}}+frac{z^{2}}{z+z^{2}}right)left(begin{array}{c}text { MULTIPLITD } text { NUMERHOR } 4 text { DENONINATOR }end{array}right. ) ( .44 z ) ( operatorname{in} 3+operatorname{ten} 45 ) ( =3-left(frac{4+2}{x+4+z}+frac{z+x}{4+z+x}+frac{8 x+y}{z+x+4}right)^{prime} ) ( =3-left(frac{2 x+2 y+2 z}{x+y+z}right) ) ( =3-2 ) ( =1 )
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