$x+\frac{1}{\sqrt{2}}y=0$

$y+\sqrt{3x}=0$

$x+\sqrt{3}y=0$

$x-\sqrt{3y}=0$

10

3.5

35

$\frac{1}{2}$

$-\frac{3}{\sqrt{2}}$

$\frac{1}{\sqrt{3}}$

$-\frac{1}{\sqrt{2}}$

$y^2-4xy=0$

$x^2+y^2-a^2=0$

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-1=0$

$\frac{x}{a}+\frac{y}{b}-1=0$

x lnx

ln x-x

x lnx-x

x-ln x

$y^2-4ax=0$

$x^2+y^2-a^2=0$

$ax+by+c=0$

$xy-c=0$

$a^2{e}^{(ax+b)}$

$\ln (ax+b)$

$a{e}^{(ax+b)}$

$e^{(ax+b)}$

$x^2+y^2-8x-3y-52=0$

$2x^2+y^2-18x-3y-48=0$

$x^2+y^2+16x-5y+52=0$

$x^2+y^2-8x+3y-11=0$

বাস্তব ও অসমান

বাস্তব ও সমান

জটিল ও অসমান

মুলদ

I

II

III

IV

$\frac{25}{6}$

$\frac{23}{6}$

$\frac{20}{7}$

$\frac{35}{12}$

4

6

3

5

7

$\frac{-7}{4}$

$\frac{4}{7}$

$\frac{7}{4}$

-3

3, -3

3

$\frac{5}{12}$

$-\frac{5}{12}$

$\pm \frac{4}{12}$

$\pm \frac{5}{12}$

(3, 4)

(-4, 3)

(4, -3)

(8, 6)

1.0

0.8

0.5

0.4

3x-y-7=0

x+y-9=0

x-3y+11=0

2x-3y-7=0

(1, 2)

(2, 1)

(3, 1)

(2, 2)

2

4

2√2

2-2i

210

20

212

কোনোটিই নয়

{8, 10}

{4, 6}

{3, 5}

{1, 2, 3, 4}

40320

44322

30422

30420

3

7

6

কোনোটিই নয়

5

7

4 এবং 5

4

48

68

84

210

1

5

2

কোনোটিই নয়

1

5

-13

4

27

54

12

3

5

-1

7

$\frac{{\displaystyle 1}}{10}$

$\frac{{\displaystyle 1}}{5}$

2

$(2a-1)(2a-1)(2a-1)$

$(2a-1) (4a^2-1+1)$

$(2a-1) (4a^2+2a+1)$

$(2a+1) (4a^2-2a+1)$

পূর্ণ সংখ্যা

মূলদ কিন্তু পূর্ণ সংখ্যা নয়

বাস্তব কিন্তু অমূলদ

অমূলদ

$-\frac{5}{4}$

12

3

-5

x<2

x>2

x<12

x>12

$5\le x<9$

$1<x<5$

$-3\le x\le 1$

$9\le x\le 5$

1

2

$\infty$

4

6

7

4

3

$7x^2$

$4x^2$

$4x^3$

$7x^3$

$\left(\frac{2}{3}, 0\right)$

$\left(0, \frac{{\displaystyle 2}}{{\displaystyle 3}}\right)$

(-2, 0)

(3, 0)

$-\frac{1}{3}$

$-\frac{10}{3}$

$\frac{280}{9}$

$\frac{10}{81}$

$\frac{-2}{3}$

$\frac{2}{3}$

$\frac{7}{3}$

$-\frac{7}{3}$

$x^2-7x+12=0$

$x^2-12x+7=0$

$x^2+7x-12=0$

$x^2+7x+12=0$

25

5

1

12

14

20

18

$\frac{\mathrm{\pi }}{24}$

$\frac{\mathrm{\pi }}{3}$

$\frac{\mathrm{\pi }}{4}$

$\frac{\mathrm{\pi }}{12}$

ln(3)

$\frac{1}{3}$

$\frac{1}{\ln \left(x\right)}$

-2ln2

-ln2

ln2

2ln2

1

3

5

$1-\frac{1}{e^2}$

$\frac{1}{e^2}-1$

$-\frac{1}{e^2}$

$\frac{1}{e^2}+\frac{{\displaystyle 1}}{{\displaystyle e^2}}-e$

-1

$-\frac{1}{2}$

$\frac{1}{2}$

4

$\frac{-8}{3}$

$-4, \frac{8}{3}$

$4, \frac{-8}{3}$

-6sin3x cos3x

-2cos3x

2cos3x

6sin3x

$\frac{e^t}{t}$

$\frac{2e^t}{t}$

$\frac{e^t}{t^2}$

$\frac{4e^t}{2t-1}$

14910

14410

19420

29329

24

48

384

$\frac{1}{x}$

$\frac{1}{\ln x}$

$\frac{\ln x}{x}$

$\frac{1}{x\ln x}$

$-\frac{1}{2}\cos \left(2x\right)+c$

$-\frac{1}{2}{\cos }^2\left(2x\right)+c$

$\frac{1}{2}\sin \left(2x\right)+c$

$\frac{1}{2}{\sin }^2\left(2x\right)+c$

4

6

5

2

$\frac{1}{5}$

1

5

$x^{m-1}$

$a^{m-1}$

$a{x}^{m-1}$

$e^x$

$\frac{e^x}{1+e^{2x}}$

$\frac{e^{2x}}{1+e^x}$

$\frac{e^x}{1-e^{2x}}$

3x

6x

6

5

$5e^{5x}+c$

$\frac{{\displaystyle 1}}{5}{e}^{5x}+c$

$\frac{{\displaystyle 1}}{5}{e}^x+c$

কোনটিই নয়

16

4

20

18

$\cos \theta$

$-\sin \theta$

$-cot\theta$

$-\cos \theta$

$(2n+1)\frac{\mathrm{\pi }}{2}$

$(3n+1)\frac{\mathrm{\pi }}{2}$

$\mathrm{\pi }$

$\mathrm{\pi n}$

$\sqrt{x}$

x

$\sqrt{1-x^2}$

$\frac{\sqrt{1-x^2}}{x}$

$\mathrm{\pi }$

$\frac{{\displaystyle 1}}{2\mathrm{\pi }}$

r

$2\mathrm{\pi }$

$2\mathrm{\pi } \mathrm{সমকোণ}$

$\frac{{\displaystyle 2}}{\mathrm{\pi }} \mathrm{সমকোণ}$

$2 \mathrm{সমকোণ}$

$\mathrm{\pi } \mathrm{সমকোণ}$

$\frac{1}{3}$

$\frac{1}{\sqrt{3}}$

$-\frac{1}{\sqrt{3}}$

${\mathrm{p}}^2+{\mathrm{q}}^2$

$\sqrt{{\mathrm{p}}^2+{\mathrm{q}}^2}$

$2\mathrm{pq}$

$\frac{{\displaystyle {\mathrm{p}}^2-{\mathrm{q}}^2}}{{\displaystyle {\mathrm{p}}^2+{\mathrm{q}}^2}}$

$\mathrm{cos\theta }$

$2\cos 2\mathrm{\theta }$

$\mathrm{sin\theta }$

$2 \mathrm{sin\theta }$

$1-x^2$

$\sqrt{1-x^2}$

$\frac{x}{\sqrt{1-x^2}}$

$\frac{1}{\sqrt{1-x^2}}$

ln3+ln1

$\frac{\ln 8}{\ln 2}$

${\int }_1^4\frac{1}{t}dt$

${\int }_1^4\ln x dx$

1

$\sqrt{2} \sin 10°$

$\frac{1}{\sqrt{2}}$

$n^n{e}^{nx}$

$e^{nx}$

$n{e}^{nx}$

$n^n{e}^x$

$2\sqrt{2}$

2

3

9

$\frac{8}{7}$

$\frac{1}{5}$

$\frac{7}{8}$

কোনটিই নয়

2x

3x

4x

5x

2

1

3

5

1

-1

2

$\frac{\cos x}{6\sqrt{\sin x}}$

$\frac{\sin x}{6\sqrt{\sin x}}$

$\frac{\cos x}{6\sqrt{\cos x}}$

$\frac{\cos x}{2\sqrt{\sin x}}$

$\frac{x^2+y^2}{x-y^2}$

$\frac{x^2-y}{x-y^2}$

$\frac{x^2-y^2}{x+y^2}$

$\frac{x-y^2}{x^2-y}$

$1-\tan \theta$

$1-cot\theta$

$1+cot\theta$

$1+\tan \theta$

$\frac{1}{4}{\sin }^{6}x$

$\frac{1}{6}{\sin }^{4}x$

$\frac{1}{5}{\sin }^{4}x$

$\frac{1}{6}{\sin }^{6}x$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{6}$

$\frac{1}{8}$

$\frac{3\sqrt{3}}{\mathrm{\pi }}$

$\frac{\sqrt{3}}{2\mathrm{\pi }}$

$\frac{\mathrm{\pi }}{3\sqrt{3}}$

$\frac{3\mathrm{\lambda }}{\sqrt{3}}$

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{4}{3}$

$\frac{3}{4}$

2

3

1

5

$\frac{1}{x}$

x

$x^2$

$\frac{1}{x^2}$

$m{e}^{mx}$

$-\frac{1}{m}{e}^{mx}$

$-m{e}^{mx}$

$\frac{1}{m}{e}^{mx}$

8

10

12

15

(0, 0)

(0, a)

(a, 0)

(-a, 0)

$\cos \theta >0 এবং \overrightarrow{a}.\overrightarrow{b}>=0$

$\cos \theta =0 এবং \overrightarrow{a}.\overrightarrow{b}=0$

$\cos \theta <0 এবং \overrightarrow{a}.\overrightarrow{b}<0$

$\cos \theta >0 এবং \overrightarrow{a}.\overrightarrow{b}=0$

কর্ণ ম্যাট্রিক্স

বর্গ ম্যাট্রিক্স

স্কেলার ম্যাট্রিক্স

অভেদক ম্যাট্রিক্স

5 বা 6

7 বা 8

9 বা 10

11 বা 12

$s=\frac{n(n+1)}{2}$

$s=\frac{1}{6}n(n+1)(2n+1)$

$s={\left\{\frac{n(n+10)}{2}\right\}}^2$

$s=\frac{1}{2}n(a+1)$

k=5 অথবা 2

k=3 অথবা 4

k=6 অথবা 7

k=9 অথবা 10

x-y=0

2x+y=0

x+y=0

x+2y=0

(47, 12)

(34, -44)

(12, 47)

(12, 17)

Tk. 22.5

Tk. 34.5

Tk.19.5

Tk. 7.0

6

8

9

4

46

49

39

36

$\overrightarrow{AB}+\overrightarrow{OC}=\overrightarrow{OB}$

$\overrightarrow{OA}+\overrightarrow{AB}=\overrightarrow{OB}$

$\overrightarrow{OB}+\overrightarrow{OA}=\overrightarrow{AB}$

$\overrightarrow{OA}+\overrightarrow{OC}=\overrightarrow{OB}$

$110°$

$120°$

$130°$

$140°$

$92 c{m}^2$

$108 c{m}^2$

$1122 c{m}^2$

$118 c{m}^2$

$48°$

$138°$

$318°$

$258°$

$\angle 1+\angle 3=180°$

$\angle 1+\angle 2=180°$

$\angle 1=\angle 4$

$\angle 2+\angle 3=90°$