ঢাকা বিশ্ববিদ্যালয়

  x ln x -x

  x ln x

  $\frac{1}{x}$

  ln x

  $(\frac{14}{3},3)$

  $(\frac{27}{7},\frac{2}{7})$

  $(\frac{27}{4},\frac{4}{3})$

  কোনোটিই নয়

  $x\le 2,3\le xandy\ge 0$

  $2\le 2,3\le x\le 3andy\ge 0$

  $x\ge 3andy>0$

  $x\le 2,x\ge 3andy>0$

  16 ft

  21 $\sqrt{3}ft$

  32ft

  16$\sqrt{3}ft$ ft

  $\left(\frac{x}{y}\right)$

  $(-\frac{x}{y}{)}^n$

  $-(\frac{x}{y}{)}^{n-1}$

  $+(\frac{x}{y}{)}^{n-1}$

  $\sqrt{3}=2\cos ec\theta$=2n$\mathrm{\pi }$-$\frac{\mathrm{\pi }}{3}$

  $\theta =2n\mathrm{\pi }+\frac{\mathrm{\pi }}{3}$

  $\mathrm{\theta }=2\mathrm{n\pi }+\frac{\mathrm{\pi }}{6}$

  $\mathrm{\theta }=2\mathrm{n\pi }-\frac{\mathrm{\pi }}{6}$

  $\left[\begin{array}{c}\cos \theta \\ -\sin \theta \end{array}\begin{array}{c}\sin \theta \\ \cos \theta \end{array}\right]$

  $\left[\begin{array}{c}\cos \theta \\ \sin \theta \end{array}\begin{array}{c}-\sin \theta \\ -\cos \theta \end{array}\right]$

  $\left[\begin{array}{c}\cos \theta \\ \sin \theta \end{array}\begin{array}{c}-\sin \theta \\ \cos \theta \end{array}\right]$

  $\left[\begin{array}{c}\cos \theta \\ \sin \theta \end{array}\begin{array}{c}\sin \theta \\ \cos \theta \end{array}\right]$

  1440

  246

  120

  60

  $-\frac{9}{5}$

  $-\frac{7}{2}$

  $-\frac{5}{2}$

  $\frac{\mathrm{\pi }}{2}$

  $\frac{\mathrm{\pi }}{3}$

  $\frac{\mathrm{\pi }}{4}$

  $\frac{\mathrm{\pi }}{6}$

  1

  2

  4

  8

  $\frac{1}{4}{\mathrm{\pi a}}^2$

  $\frac{1}{2}{\mathrm{\pi a}}^2$

  ${\mathrm{\pi a}}^2$

  $\frac{1}{2}{\mathrm{a}}^2$

  10011

  111

  110

  11

  - 2 In 2

  - In 2

  - 2 e

  -e

  $(-\frac{2}{3},-\frac{1}{3})\cup (-\frac{1}{3},-\frac{4}{5})$

  $[-\frac{2}{5},-\frac{1}{3})\cup (-\frac{1}{3},\frac{4}{15})$

  $(-\frac{2}{3},\frac{4}{15})$

  None

  -1

  $-\frac{1}{2}$

  $\frac{1}{2}$

  1

  $x^2+y^2+6x-8y+16=0$

  $x^2+y^2-6x-8y-16=0$

  $x^2+y^2-6x\_8y+16=0$

  $x^2+y^2-6x-8y+16=0$

  $\mathrm{\pi }$

  $\mathrm{\pi }/2$

  $2\mathrm{\pi }$

  $\mathrm{\pi }/4$

  $-\frac{231}{8}$

  231

  $\frac{231}{4}$

  $\frac{231}{8}$

  6

  $5\sqrt{2}$

  7

  $5\sqrt{3}$

  $x^2+2x+6=0$

  $x^2+x+3=0$

  $x^2+2x-6=0$

  $x^2+x-3=0$

  decreases by 4%

  increases by 4%

  increases by 5%

  remains unchanged

  A = 2

  2y = 3

  x =1

  x + 3 = 0

  $\frac{3}{2}units$

  $\frac{\sqrt{3}}{2}units$

  $\sqrt{3}units$

  1 unit

  240

  60

  120

  480

  $\underset{AD}{\to }=\underset{AB}{\to }+\underset{BC}{\to }$

  $\underset{AD}{\to }=\underset{AF}{\to }+\underset{AE}{\to }$

  $\underset{AD}{\to }=\underset{AB}{\to }+\underset{AC}{\to }$

  $\underset{AD}{\to }=\underset{BE}{\to }+\underset{CF}{\to }$

  9

  -12

  12

  8

  $\frac{1}{2}$

  $\frac{1}{3}$

  $\frac{2}{9}$

  $\frac{1}{6}$

  12

  8

  6

  4

  $\pm \frac{3}{2}$

  $\pm 2$

  1

  $\pm 1$