Day 280: JEE Mains Maths

1. A.
   $\frac{7\pi}{3}$
2. B.
   $\frac{3\pi}{2}$
3. C.
   $\frac{17\pi}{8}$
4. D.
   $\frac{7\pi}{4}$

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1. A.
   $\frac{1}{I_{2} + I_{4}},\frac{1}{I_{3} + I_{5}},\frac{1}{I_{4} + I_{6}}$ are in G.P.
2. B.
   $\frac{1}{I_{2} + I_{4}},\frac{1}{I_{3} + I_{5}},\frac{1}{I_{4} + I_{6}}$ are in A.P.
3. C.
   $I_{2} + I_{4},I_{3} + I_{5},I_{4} + I_{6}$ are in A.P.
4. D.
   $I_{2} + I_{4},\left( I_{3} + I_{5} \right)^{2},I_{4} + I_{6}$ are in G.P.

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1. A.
   $P\left( E_{1} \cap E_{2} \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$
2. B.
   $P\left( E_{1}' \cap E_{2}' \right) = P\left( E_{1}' \right) \cdot P\left( E_{2} \right)$
3. C.
   $P\left( E_{1} \cap E_{2}' \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$
4. D.
   $P\left( E_{1}' \cap E_{2} \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$

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1. A.
   57
2. B.
   38
3. C.
   19
4. D.
   76

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1. A.
   6
2. B.
   54
3. C.
   18
4. D.
   36

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