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Let `a,b,c`, are non-zero real numbers such that `(1)/(a),(1)/(b),(1)/(c )` are in arithmetic progression and `a,b,-2c`, are in geometric progression, then which of the following statements (s) is (are) must be true?A. `a^(2),b^(2), 4c^(2)` are in geometric progressionB. `-2a,b, -2c` are in arithmetic progressionC. `a^(3)+b^(3)+c^(3) - 3abc = 0`D. `a^(2),b^(2),c^(2)` are in harmonic progression |
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Answer» Correct Answer - A::B::C Here, `b=(2ac)/(a+c)" " ……(1)` and `b^(2)= -2ac" " ….(2)` `implies b=(-b^(2))/(a+c) implies a+b+c=0` Now, verify it` |
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