यदि x y z सभी अलग है और शून्य के बराबर नहीं है और  तब x-1 + y-1 + z-1 का मान किसके बराबर है?

  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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गणना:

R1 = R1 - R2

R2 = R2 - R3

अब, R1 के साथ विस्तार करके, हम प्राप्त करते हैं

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

⇒ x [y + yz + z] + y [z] = 0

⇒ xy + xyz + xz + yz = 0

xyz द्वारा विभाजित करने पर

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