Test with a=1,b=0,c=2,x=0,y=1,z=2: determinant evaluates to −8. Right side without λ: (1)(−2)(1)(−1)(−1)(2)=−4. So λ=−8/−4=2.
CUET UG 2022 — Mathematics Algebra
If (a−x)2(b−x)2(c−x)2(a−y)2(b−y)2(c−y)2(a−z)2(b−z)2(c−z)2=λ(a−b)(b−c)(c−a)⋅(x−y)(y−z)(z−x)
then the value of λ is:
Held on 16 Jul 2022 · Verified 13 Jul 2026.
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