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Q.

Observe the following Columns.
 

S.No.Column-IS.No.Column-II
A)In a triangle ABC,  if a42b2+c2a2+b4+b2c2+c4=0, then A is p)30°
B)In a triangle ABC,  if a4+b4+c4=a2b2+2b2c2+2c2a2, then C is q)60°
C)In a triangle ABC, a4+b4+c4+2a2c2=2a2b2+2b2c2, then B is r)90°
D)In a ABC, if a2+b2+c2=2b(c+a), then B is s)120°
  t)150°

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Detailed Solution

A-q;s,B-p;t,C-r,D-r
 A) b2+c2a22=b2c2
b2+c2a22bc=14cos2A=14
 A=600 or 1200
 B) a2+b2c2=2abcosC Squaring both sides 
 then cos2C=34C=30 or 150
 C) b42b2a2+c2=0b2a2+c2=0
a2+c2=b2cosB=0 B=900
 D) (bc2)2+(ba2)2=0
b=c2,b=a2B=900

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