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Q.

In a triangle ABC

 COLUMN-I COLUMN-II
A)bcosC+ccosBp)a
B)b2+c22bccosAq)(a+b+c)r
C)bcsinAr)a2
D)bsinAasinBs)0

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a

Ap;Br;Cq;Ds

b

Aq;Br;Cs;Dp

c

Ar;Bp;Cq;Ds

d

As;Bq;Cp;Dr

answer is A.

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Detailed Solution

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 bcosC+ccosB
 = CD + DB = BC = a
  cosA=b2+c2a22bcb2+c22bccosA=a2
     Δ=12bcsinA=sr
  bcsinA=2sr=(a+b+c)r.
 Also  sinAa=sinBb

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In a triangle ABC COLUMN-I COLUMN-IIA)bcosC+ccosBp)aB)b2+c2−2bccosAq)(a+b+c)rC)bcsinAr)a2D)bsinA−asinBs)0