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The value of |{:(x,x^2-yz,1),(y,y^2-zy,1...

The value of `|{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}|` is

A

1

B

-1

C

0

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
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If x,y,z are distinct and |(x, x(x^2+1), x+1),(y,y(y^2+1), y+1),(z, z(z^2+1), z+1)|=0 then (A) xyz=0 (B) x+y+z=0 (C) xy+yz+zx=0 (D) x^2+y^2+z^2=1

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Show that Delta =Delta_(1) , where Delta = |[Ax,x^(2), 1],[By, y^(2), 1],[Cz, z^(2),1]| "and "Delta_(1) = |[A,B, C],[x, y, z],[zy, zx,xy]|

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