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Let x, y, z be positive real numbers such that x, y, z are in GP and tan-1 x, tan-1 y and tan-1 z are in AP. Then which one of the following is correct?
  • a)
    x = y = z 
  • b)
    xz = 1
  • c)
    x ≠ y and y = z
  • d)
    x = y and y ≠ z 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let x, y, z be positive real numbers such that x, y, z are in GP and t...
Given that x,y,z are in GP 

= x ,y ,z are in GP
= x = y = z
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Let x, y, z be positive real numbers such that x, y, z are in GP and tan-1x, tan-1y and tan-1z are in AP. Then which one of the following is correct?a)x = y = zb)xz = 1c)x ≠ y and y = zd)x = y and y ≠ zCorrect answer is option 'A'. Can you explain this answer?
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