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If the arithmetic mean of two unequal positive real numbers, a and b (a>b) is three times of their geometric mean, then a : b is equal to
  • a)
    2 + √ 3 : 2 -√ 3
  • b)
    3 + √8 : 3-√8
  • c)
     
    1 + √3 : 1 -√3
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the arithmetic mean of two unequal positive real numbers, a and b (...
As a, b, c are G.P. Therefore b2 = ac. Now, the equation ax2 + 2bx + c = o can be written as 
 If the two given equations have a common root, then this root must be  Thus d  
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