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JEE Advanced 2020 Full Test 1 Paper 1

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This section contains SIX questions of matching type. The section contains TWO tables (each having 3 columns and 4 rows). Based on each table, there are THREE questions. Each question has FOUR options (A),(B),(C), and (D). ONLY ONE of these four options is correct.
Answer questions 44,45 and 46 by appropriately matching the information given in the three columns of the following table.

   Column −1[I(α)]b    Column −2[I(α1)]    Column −3[I(α2)]
 (I)  I(α)=
1
∫
0
‌
xα−1
ln‌x
dx		  (i)  ‌
π
2
‌ln‌
3
2
  P  π‌ln(‌
√5
2
)
 (II)  I(α)=
1
∫
0
‌
tan−1αx
x√1−x2
dx		  (ii)  ln‌
3
2
  Q  ‌
π
4
(√15−4)
 (III)  I(α)=
1
∫
0
‌
ln(1−α2x2)
x2√1−x2
dx		  (iii)  ‌
π
2
(√3−2)		  R  ‌
π
2
‌ln(‌
√17+4
4
)
 (IV)  I(α)=
∞
∫
0
‌
tan−1αx
x(1+x2)
dx		  (iv)  ‌
π
2
‌ln(‌
√5+1
2
)		  S  2‌ln(‌
√5
2
)
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Question : 45
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