MCQ
$\int \frac{\sin 2 x}{p \cos ^2 x+q \sin ^2 x} d x=\ldots \ldots \ldots +c$.
- A$\frac{q}{p} \log |p \sin 2 x+q \cos 2 x|$
- B$(q-p) \log \left|p \cos ^2 x+q \sin ^2 x\right|$
- ✓$\frac{1}{q-p} \log \left|p \cos ^2 x+q \sin ^2 x\right|$
- D$\frac{1}{p^2+q^2} \log \left|p \cos ^2 x+q \sin ^2 x\right|$
$0$ અને $f(n)=\alpha^n+\beta^n$ અને $\begin{vmatrix} 3 & 1+f(1) & 1+f(2) \\ 1+f(1) & 1+f(2) & 1+f(3) \\ 1+f(2) & 1+f(3) & 1+f(4) \end{vmatrix}$ =$k(1-\alpha)^2(1-\beta)^2(\alpha-\beta)^2,$ તો $k=.......$