Question:
In \(\triangle ABC\), if \(\cot A, \cot B\) and \(\cot C\) are in AP, then \(a^2, b^2\) and \(c^2\) are in
In \(\triangle ABC\), if \(\cot A, \cot B\) and \(\cot C\) are in AP, then \(a^2, b^2\) and \(c^2\) are in
Show Hint
Use identity: \(\cot A = \frac{b^2+c^2-a^2}{4\Delta}\) for triangle problems.
Updated On: Apr 16, 2026
- HP
- AP
- GP
- None of these
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
\[
\cot A = \frac{b^2 + c^2 - a^2}{4\Delta}
\]
If \(\cot A, \cot B, \cot C\) are in AP:
\[
2\cot B = \cot A + \cot C
\]
Substituting gives:
\[
a^2, b^2, c^2 \text{ are in AP}
\]
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