List of top Questions asked in UP Board XII

Solve $\dfrac{dy}{dx} = \dfrac{x + e^x}{y}$.
If the vectors $2\hat{i} + \hat{j} - a\hat{k}$ and $\hat{i} + 4\hat{j} + \hat{k}$ are perpendicular, find the value of $a$.
Evaluate: $\int x^{2}\sin(x^{3})\,dx$
If $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}$, then $BA$ will be:
The slope of the normal to the curve $y = 2x^{2} + 3\sin x$ at $x = 0$ will be:
The value of $\int_{1}^{\sqrt{3}} \dfrac{dx}{1+x^{2}}$ will be:
If $y = 4t$ and $x = \dfrac{4}{t}$, then the value of $\dfrac{dy}{dx}$ will be:
Who is Mr. Lamb? What type of garden does he have?