5040

6718

6722

6724

x+y = 1

xy = 1

$\frac{x}{y} = 1$

x-y = 1

(2, 1)

(2, -1)

(1, 2)

(-2, 1)

10

2

-2

4

${\sin }^{-1}\frac{2x}{1+x^2}$

$ta{n}^{-1}\frac{2x}{1+x^2}$

${\cos }^{-1}\frac{1+x^2}{1-x^2}$

$co{t}^{-1}\frac{1-x^2}{2x}$

11010110

1010011

1101101

101101

-1

1

$\pm 1$

924

77

925

132

10

20

30

40

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

$\frac{3\mathrm{\pi }}{4}$

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

$-\frac{3\mathrm{\pi }}{4}$

${\left(34\right)}_{19}$

${\left(46\right)}_{10}$

${\left(44\right)}_{10}$

${\left(45\right)}_{10}$

3003

2003

4003

5003

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

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

$-\frac{1}{2}$

$\frac{1}{2}$

2

1

কোনটিই নয়

2x-11y+7=0

2x+11y+17=0

11x-2y+7=0

11x+2y+17=0

1

2

3

16

32

08

48

$2\frac{13}{16}$

$3\frac{11}{13}$

$5\frac{7}{9}$

$4\frac{3}{11}$

$\sqrt{21}$

$\sqrt{19}$

$\sqrt{15}$

$\sqrt{13}$

10 m/s

11 m/s

12 m/s

14 m/s

10

8

6

4

5m

10m

2m

4m

8j

4i+8j

-4i+8j

-4i+2j

বাস্তব, মূলদ ও সমান

অবাস্তব ও অসমান

জটিল

বাস্তব, মূলদ ও অসমান

x

p

y

$\sqrt{p^2+a^2}$

(0,3)

(-3,0)

(4,0)

(0,0)

${\sin }^{-1}\left(\mathrm{sinx}\right) = \mathrm{x}, \mathrm{যখন} -1\le \mathrm{x}\le 1$

${\cos }^{-1}({\cos }^{-1} \mathrm{x}) = \mathrm{x}, \mathrm{যখন} -0\le 1\le \mathrm{\pi }$

$\sin ({\sin }^{-1} \mathrm{x}) = \mathrm{x}, \mathrm{যখন} -1\le \mathrm{x}\le 1$

${\cos }^{-1}({\cos }^{-1} \mathrm{x}) = \mathrm{x}, \mathrm{যখন} -\frac{\mathrm{\pi }}{2}\le \mathrm{x}\le \frac{\mathrm{\pi }}{2}$

6

6x

$3{\mathrm{x}}^2-5$

3

$\frac{\mathrm{n}{\left(\mathrm{n}+1\right)}^2}{2}$

$\frac{\mathrm{n}\left(\mathrm{n}+1\right) \left(2\mathrm{n}+1\right)}{6}$

${\mathrm{n}}^2$

${\mathrm{n}}^4$

2$\mathrm{\pi }$

3$\mathrm{\pi }$

4$\mathrm{\pi }$

5$\mathrm{\pi }$

$3\sqrt{2}$

$2\sqrt{3}$

$5\sqrt{2}$

$2\sqrt{5}$

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

$\frac{\mathrm{n\pi }}{2}$

$\left(4\mathrm{n} + 1\right)\frac{\mathrm{\pi }}{8}$

$\left(4\mathrm{n} + 1\right)\frac{\mathrm{\pi }}{2}$

1

20

25

49

$\frac{15!}{{\mathrm{x}}^{16}}$

$\frac{15!}{{\mathrm{x}}^{13}}$

$\frac{1 + 1}{{\mathrm{x}}^{15}}$

$\frac{1 + 1}{{\mathrm{x}}^{16}}$

$\pm$2

$\pm$4

$\pm$6

$\pm$8

110$°$

120$°$

180$°$

270$°$

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

$-\frac{\mathrm{\pi }}{2}$

$\pm \frac{\mathrm{\pi }}{2}$

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

18

9

36

3

2

3

$\sqrt{13}$

5

$\sin \left(\sqrt{\mathrm{x}}\right)$

$-\sin \left(\sqrt{\mathrm{x}}\right)$

$\frac{-\sin \left(\sqrt{{\mathrm{x}}^{-1}}\right)}{\sqrt{\mathrm{x}}}$

$\frac{-\sin \left(\sqrt{\mathrm{x}}\right)}{2\sqrt{\mathrm{x}}}$

1

-1

$\frac{1}{2}$

0

100011001

100000001

110001101

কোনটিই নয়

x

$\sqrt{1-\mathrm{x}}$

$\left(2\mathrm{x} \pm 1\right)\mathrm{\pi }$

$\left(2\mathrm{x} - 1\right)\frac{\mathrm{\pi }}{2}$

$\mathrm{\pi }$

0

1

2

$6 {\mathrm{ms}}^{-2}$

$1 {\mathrm{ms}}^{-2}$

$4 {\mathrm{ms}}^{-2}$

$2 {\mathrm{ms}}^{-2}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{2}{3}$

নিজে চেষ্টা করুন

2

8

7

4

$\frac{23}{9}$

$\frac{26}{7}$

$\frac{28}{5}$

$\frac{29}{7}$

${\cos }^{-1} \left(\frac{4}{25}\right)$

${\cos }^{-1} \left(\frac{4}{21}\right)$

$45°$

$90°$

4

8

16

9