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In a DeltaABC, bcos^(2)'(A)/(2) + acos^(...

In a `DeltaABC, bcos^(2)'(A)/(2) + acos^(2)"(B)/(2) = (3)/(2)c`, then `a, c, b` in (with usual notations)

A

`A.P`

B

`G.P`

C

`H.P`

D

`A.G.P.`

Text Solution

Verified by Experts

The correct Answer is:
A
`:' b cos^(2)'(A)/(2) + a cos^(2)'(B)/(2) = (3)/(2)c`
`rArr b(s(s-a))/(bc) + a(s(s-b))/(ac) = (3)/(2)c`
`rArr (s)/(c)[s-a+s-b] = (3)/(2)c`
`rArr (a+b+c)/(2) = 3/2c rArr a + b = 2c`
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