If in a triangle ABC a ^ 2 ( C 2 )+ ^ 2 ( A 2 )= 3 b 2 , then the sides a, b and c

Mathematics · JEE Main · NTA ExamsTrigonometry

If in a triangle ABC
\(a \cos ^{2}\left(\frac{C}{2}\right)+\cos ^{2}\left(\frac{A}{2}\right)=\frac{3 b}{2},\) 
then the sides a, b and c
  1. are in AP
  2. are in GP
  3. are in HP
  4. satisfy a + b = c

Answer

(A) are in AP

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