If a^2,b^2,c^2 are in AP, then which of the following is also an AP?

JEE Main Mathematics question

If are in AP, then which of the following is also an AP?

(A)
(B)
(C)Correct
(D)None of these

Answer: (C)

Solution

Here are the sides of a triangle and its angles; and similarly for and , with the area. The three cotangents are proportional to , and , whose consecutive differences are

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Question ID VK-021424