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Let \(\frac{\sin A}{\sin B}=\frac{\sin (A-C)}{\sin (C-B)}\), where A, B, C are angles of a triangle A B C. If the length…

Q1

Let \(\frac{\sin A}{\sin B}=\frac{\sin (A-C)}{\sin (C-B)}\), where A, B, C are angles of a triangle A B C. If the lengths of the sides opposite these angles are a , b , c respectively, then :-

[JEE Main 2021, 27 Aug (Shift 1)]

a

\({b}^{2}-{a}^{2}={a}^{2}+{c}^{2}\)

b

\({b}^{2},{c}^{2},{a}^{2}\text{ are in A.P. }\)

c

\({c}^{2},{a}^{2},{b}^{2}\text{ are in A.P }\)

d

\({a}^{2}\cdot {b}^{2},{c}^{2}\text{ are in A.P }\)

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