Day 96: MHT-CET Maths

1. A.
   $\frac{k^2-1}{12}$
2. B.
   $\frac{k^2-1}{6}$
3. C.
   $\frac{k^2+1}{12}$
4. D.
   $\frac{k^2+1}{6}$

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1. A.
   $\begin{array}{c|ccc}X&0&1&2\\\hline p&\frac{1}{36}&\frac{25}{36}&\frac{5}{18}\end{array}$
2. B.
   $\begin{array}{c|ccc}X&0&1&2\\\hline p&\frac{25}{36}&\frac{1}{36}&\frac{5}{18}\end{array}$
3. C.
   $\begin{array}{c|ccc}X&0&1&2\\\hline p&\frac{25}{36}&\frac{5}{18}&\frac{1}{36}\end{array}$
4. D.
   $\begin{array}{c|ccc}X&0&1&2\\\hline p&\frac{5}{18}&\frac{1}{36}&\frac{25}{36}\end{array}$

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1. A.
   $\frac{1}{2}R_1$
2. B.
   $2R_1$
3. C.
   $3R_1$
4. D.
   $\frac{1}{3}R_1$

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1. A.
   $(-\infty,\infty)$
2. B.
   $[0,\infty)$
3. C.
   $(-\infty,0)\cup(0,\infty)$
4. D.
   $(0,\infty)$

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1. A.
   $\sin\frac{y}{x}=\log(x)+\frac{1}{2}$
2. B.
   $\csc\frac{y}{x}=\log(x)+2$
3. C.
   $\sec^2\frac{y}{x}=\log(x)+2$
4. D.
   $\cos^2\frac{y}{x}=\log(x)+\frac{1}{2}$

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