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যদি x y z সবকটি অ-শূন্য স্বতন্ত্র সংখ্যা হয় এবং

  হয়, তবে x-1 + y-1 + z-1 এর মান কত?

  1. -1
  2. - x - y - z
  3.  x-1y-1z-1
  4. xyz

Answer (Detailed Solution Below)

Option 1 : -1
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Detailed Solution

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গণনা:

R1 = R1 - R2

R2 = R2 - R3

এখন R1 অনুযায়ী প্রসারিত করে আমরা পাই

⇒ x [y(1 + z) - (-z)] - (-y) [0 - (-z)] + 0 = 0

⇒ x [y + yz + z] + y [z] = 0

⇒ xy + xyz + xz + yz = 0

xyz দ্বারা ভাগ করে

⇒ 

⇒ 

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