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by eliminating a,b,c from the homogeneous equations, where a,b,c not all zero
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a
xy+yz+zx=1
b
xy+yz+zx=−1
c
x+y+z=0
d
x+y+z=1
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Correct option is B
x=ab−c⇒a−xb−xc=0, y=bc-a⇒b+ay−cy=0, z=ca−b⇒az−bz−c=0By eliminating a,b,c from 1,2,3⇒1-xxy1-yz-z-1=0⇒1(−1−yz)+x(−y−yz)+x(−yz−z)=0⇒−1−yz−xy+xyz−xyz−xz=0⇒xy+yz+zx=−1Similar Questions
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