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Q.

 COLUMN-I COLUMN-II
aIf maximum and minimum values of 7+6tanθtan2θ1+tan2θ. For all real values of θ(π2) are λ and μ respectively, thenpλ+μ=2
    
bIf maximum and minimum value of 5cosθ+3cos(θ+π3)+3. For all real values of θ are λ and μ respectively, thenqλμ=6
cIf maximum and minimum values of 1+sin(π4+θ)+2cos(π4θ) . For all real values θ are 1 and μ respectively, thenrλ+μ=6
  sλμ=10
  tλμ=14

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a

arp,brq,cts

b

ars,brt,cpq

c

arp,brq,cpq

d

ars,brt,cts

answer is B.

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Detailed Solution

Let y=7+6tanθtan2θ(1+tan2θ)  
=7cos2θ+6sinθcosθsin2θ 
=7(1+cos2θ2)+3sin2θ(1cos2θ2) 
=3sin2θ+4cos2θ+3(32+42)+3 
3sin2θ+4cos2θ+3(32+42)+3 
2y8λ=8,μ=2 
λ+m=6,λμ=10(r,s)  

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