Day 118: JEE Mains Maths

1. A.
   8
2. B.
   16
3. C.
   10
4. D.
   12

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1. A.
   34 but not by 14
2. B.
   both 14 and 34
3. C.
   neither 14 nor 34
4. D.
   14 but not by 34

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1. A.
   It has infinitely many solutions if $\alpha = 2$ and $\beta = - 1$
2. B.
   It has no solution if $\alpha = - 2$ and $\beta = 1$
3. C.
   $x + y + z = \frac{3}{4}$ if $\alpha = 2$ and $\beta = 1$
4. D.
   It has infinitely many solutions if $\alpha = 1$ and $\beta = 1$

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1. A.
   $4\log_{e}2 + 2$
2. B.
   $8\log_{e}2 - 2$
3. C.
   $4\left( \log_{e}2 \right)^{2} + 2$
4. D.
   $4\left( \log_{e}2 \right)^{2} - 2$

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