Higher Math 1st Paper MCQ-Dinajpur Board-2019

1. Which one is the value of $\tan 2 \theta-\tan \theta ?$

2. If $y=\tan ^{-1} \frac{6 x}{1-9 x^{2}}$, then the value of $\frac{d y}{d x}$ is -

3. What is the value of $\frac{1+\tan 26^{\circ}}{1-\tan 26^{\circ}}$ ?

4. Which one is the equation of normal at the point $(0,6)$ of the curve $y=x^{3}+2 x+$ 6 ?

5. $X, Y \subset R$ and $f: X \rightarrow Y$ where $f(x)=\frac{2 x-3}{4 x+5}$

The value of $\lim _{x \rightarrow \infty} f(x)$ is?