1. ddx(log2x) \frac{d}{d x}\left(\log 2^{x}\right) dxd(log2x) এর মান কত?
1x \frac{1}{x} x1
2x 2^{x} 2x
12lnx \frac{1}{2 \ln x} 2lnx1
1xln2 \frac{1}{x \ln 2} xln21
2. যদি A+B=π2 \mathrm{A}+\mathrm{B}=\frac{\pi}{2} A+B=2π হয় , তবে cos2 A−cos2 B= \cos ^{2} \mathrm{~A}-\cos ^{2} \mathrm{~B}= cos2 A−cos2 B= ?
sin(A−B) \sin (\mathrm{A}-\mathrm{B}) sin(A−B)
sin(B−A) \sin (\mathrm{B}-\mathrm{A}) sin(B−A)
cos(B−A) \cos (\mathrm{B}-\mathrm{A}) cos(B−A)
−cos(B−A) -\cos (\mathrm{B}-\mathrm{A}) −cos(B−A)
3. যদি A=[1−2−35] A=\left[\begin{array}{rr}1 & -2 \\ -3 & 5\end{array}\right] A=[1−3−25] হয় , তবে A−1= A^{-1}= A−1= ?
[5231] \left[\begin{array}{ll}5 & 2 \\ 3 & 1\end{array}\right] [5321]
[−5−2−3−1] \left[\begin{array}{ll}-5 & -2 \\ -3 & -1\end{array}\right] [−5−3−2−1]
[−523−1] \left[\begin{array}{rr}-5 & 2 \\ 3 & -1\end{array}\right] [−532−1]
[532−1] \left[\begin{array}{rr}5 & 3 \\ 2 & -1\end{array}\right] [523−1]
4.
AB সরলরেখার সমীকরণ কোনটি?
3y=5x+153y=5x+153y=5x+15
3y=5x−153y=5x-153y=5x−15
3x=5y−13x=5y-13x=5y−1
x+y−1=0x+y-1=0x+y−1=0
5. cos(712)∘=? \cos \left(7 \frac{1}{2}\right)^{\circ}=? cos(721)∘=?
2+2+3 \sqrt{2+\sqrt{2+\sqrt{3}}} 2+2+3
122+2+3 \frac{1}{2} \sqrt{2+\sqrt{2+\sqrt{3}}} 212+2+3
122−2+3 \frac{1}{2} \sqrt{2-\sqrt{2+\sqrt{3}}} 212−2+3
2+2−3 \sqrt{2+\sqrt{2-\sqrt{3}}} 2+2−3
