Acceleration displacement graph of a particle executing S.H.M is as shown in given figure. The time period of its oscillation is (in sec)
a. $\pi /2$ b. $2\pi$ c. $\pi$ d. $\pi /4$

Sure, here are some step-by-step solutions using LaTeX: **Example Problem:** Simplify the expression $\frac{2x^3+4x^2}{2x}$. **Step 1:** Factor out a $2x^2$ from the numerator: $\begin{array}{rl}\frac{2x^3+4x^2}{2x}& =\frac{2x^2(x+2)}{2x}\\ & =x^2(x+2)\end{array}$ **Example Problem:** Solve the equation $3x+5=11$. **Step 1:** Subtract 5 from both sides of the equation: $\begin{array}{rl}3x+5-5& =11-5\\ 3x& =6\end{array}$ **Step 2:** Divide both sides of the equation by 3: $\begin{array}{rl}\frac{3x}{3}& =\frac{6}{3}\\ x& =2\end{array}$ **Example Problem:** Find the domain of the function $f(x)=\frac{1}{x-2}$. **Step 1:** Set the denominator equal to zero and solve for $x$ to find any values that would make the function undefined: $\begin{array}{rl}x-2& =0\\ x& =2\end{array}$ **Step 2:** The domain of the function is all real numbers except for $x=2$. Therefore, the domain is: $\boxed{(-\infty ,2)\cup (2,\infty )}$ These are just a few examples of step-by-step solutions using LaTeX. Remember to always explain each step clearly and thoroughly to help students understand the problem.