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Q.

In a triangle ABC ,  sinAcosB=1/4,3tanA=tanB .

 COLUMN-I COLUMN-II
A)BAp)600
B)A+B/2q)900
C)A+Br)300
D)A+C/2s)750

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a

Ar;Bs;Cq;Dp

b

Aq;Br;Cp;Ds

c

As;Br;Cq;Dp

d

Ar;Bp;Cq;Ds

answer is B.

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Detailed Solution

detailed_solution_thumbnail

 3tanA=tanB3sinAcosB=cosAsinB
  cosAsinB=3/4sin(A+B)=1/4+3/4=1C=900
 And  tanA=tan(900B)=cotB
  tan2A=1/3tanA=13A=300,B=600

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