Day 186: MHT-CET Maths

1. A.
   $\dfrac{a_1 - a_n}{1 + a_1a_n}$
2. B.
   $\dfrac{a_n - a_1}{1 - a_1a_n}$
3. C.
   $\dfrac{a_n - a_1}{1 + a_1a_n}$
4. D.
   $\dfrac{a_1 + a_n}{1 + a_1a_n}$

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1. A.
   $\theta = \dfrac{n\pi}{6}, n \in Z$
2. B.
   $\theta = \dfrac{n\pi}{3}, n \in Z$
3. C.
   $\theta = \dfrac{n\pi}{2}, n \in Z$
4. D.
   $\theta = n\pi \pm \dfrac{\pi}{3}, n \in Z$

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1. A.
   $8$
2. B.
   $10$
3. C.
   $7$
4. D.
   $5$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   $4$

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1. A.
   $[q \wedge (p \to q)] \to p$
2. B.
   $(p \wedge q) \to (q \vee \sim p)$
3. C.
   $[(\sim p \vee q) \wedge \sim r] \leftrightarrow p$
4. D.
   $(p \wedge q) \vee (\sim q \vee r)$

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