ExamBro
ExamBro
AP EAMCET · Maths · Determinants

If xx21+x3yy21+y3zz21+z3=0 and x, y, z are all distinct, then xyz=

  1. A -1
  2. B 1
  3. C 0
  4. D 3
Verified Solution

Answer & Solution

Correct Answer

(A) -1

Step-by-step Solution

Detailed explanation

Given, If xx21+x3yy21+y3zz21+z3=0 xx21yy21zz21+xx2x3yy2y3zz2z3=0 Taking x,y,z from C1,C2,C3 respectively xx21yy21zz21+xyz1xx21yy21zz2=0 By interchanging the columns twice xx21yy21zz21+xyzxx21yy21zz21=0 xx21yy21zz211+xyz=0 R1→R1-R2 & R2→ R2-R3…