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If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x...

If `D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z)),(x+2y+z)/xz,-(y(x+y)/(xz^2)]|` then, the incorrect statement is -

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D=|[(1)/(z),(1)/(z),-(x+y)/(z^(2))-(y+z)/(x^(2)),(1)/(x),(1)/(x)-(y(y+z)/(x^(2)z)),(x+2y+z)/(x)z,-(y(x+y)/(xz^(2))] then,the incorrect statement is -

(x)/(y)*(y)/(xz)*(z^(2))/(xy)

y+z,x,yz+y,z,xx+y,y,z]|=(x+y+z)(x-z)^(2)

If x^y=y^z=z^x and xz=y^2 then which of the following is correct?

(1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^(2)

If |(x,x^(2),1+x^(2)),(y,y^(2),1+y^(2)),(z,z^(2),1+z^(2))| where x, y, z are distinct what is |A| ?