Question:
Let \( a, b, c \) be distinct real numbers such that
\[\Delta = \begin{vmatrix}2014 & 2015 & 2013 + a^{-1} \\2015 & 2016 & 2013 + b^{-1} \\2016 & 2017 & 2013 + c^{-1}\end{vmatrix} = 0\]
Then:
Let \( a, b, c \) be distinct real numbers such that
\[\Delta = \begin{vmatrix}2014 & 2015 & 2013 + a^{-1} \\2015 & 2016 & 2013 + b^{-1} \\2016 & 2017 & 2013 + c^{-1}\end{vmatrix} = 0\]
Then:
\[\Delta = \begin{vmatrix}2014 & 2015 & 2013 + a^{-1} \\2015 & 2016 & 2013 + b^{-1} \\2016 & 2017 & 2013 + c^{-1}\end{vmatrix} = 0\]
Then:
Updated On: Jul 12, 2024
- \( a, b, c \) are in A.P.
- \( a, b, c \) are in G.P.
- \( a^2, b^2, c^2 \) are in A.P.
- \( a, b, c \) are in H.P.
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The Correct Option is D
Solution and Explanation
The correct option is (D): \( a, b, c \) are in H.P.
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