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JEE Math Practice Question

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

  1. A.b2 $$-$$ a2 = a2 + c2
  2. B.b2, c2, a2 are in A.P.
  3. C.c2, a2, b2 are in A.P.
  4. D.a2, b2, c2 are in A.P.

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