Day 643: JEE Mains Maths

1. A.
   8 only
2. B.
   2 only
3. C.
   $\frac{1}{4}$ only
4. D.
   any $a > 0$

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1. A.
   $(\sqrt{2} + \sqrt{6})/3$
2. B.
   $(\sqrt{6} + \sqrt{3})/2$
3. C.
   $(3 + \sqrt{3})/4$
4. D.
   1

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1. A.
   $1 + \sqrt{2}$
2. B.
   $3 + 2\sqrt{2}$
3. C.
   $1 + 2\sqrt{3}$
4. D.
   $4 + 5\sqrt{3}$

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1. A.
   $\frac{3 + \sqrt{5}}{2}$
2. B.
   $\frac{4 + 2\sqrt{5}}{2}$
3. C.
   $\frac{5 + 3\sqrt{5}}{2}$
4. D.
   $\frac{7 + 3\sqrt{5}}{2}$

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1. A.
   100
2. B.
   110
3. C.
   120
4. D.
   130

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