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Q.

If in ΔABC,2cosAa+cosBb+2cosCc=abc+bca  then A=

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a

30°

b

60°

c

90°

d

120°

answer is C.

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Detailed Solution

2b2+c2a22bca+a2+c2b22acb+2a2+b2c22abc=abc+bca

2(b2+c2a2)+a2+c2b2+2(a2+b2c2)2abc=a2+b2abc

2b2+2c22a2+a2+c2b2+2a2+2b22c2=2a2+2b2

c2+b2=a2

A=90°

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If in ΔABC,2cosAa+cosBb+2cosCc=abc+bca  then ∠A=