7

5

13

12

$\frac{\pi }{4}$

$\frac{\pi }{2}$

$\pi$

$2\pi$

$x^2+y^2+4x+6y-12=0$

$x^2+y^2-8x-10y+59 =0$

$x^2 + y^2 + 8x +10 y -59 =0$

$x^2+y^2 -8x-10y-59=0$

0

2

$\pi$

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

$\sqrt{2}$

2

1

$\frac{1}{2}$

-a বা (or) b

a বা (or) -b

-a বা (or) -b

a বা (or) b

3

5

$\frac{15}{4}$

$\frac{11}{4}$

448

120

240

3000

7

9

3

27

$(\frac{5}{2} \frac{0}{5})$

$\left(\frac{6}{2}\frac{0}{6}\right)$

$(\frac{6}{2} \frac{0}{6})$

$(\frac{8}{12} \frac{1}{5})$

8

$\frac{8}{9}$

$\frac{3}{7}$

$\frac{7}{13}$

$\frac{8}{7}$

$\frac{5}{8}$

$\frac{2}{7}$

$\frac{7}{3}$

27

81

72

56

4 N

5 N

6 N

8 N

7

5

9

8

$\frac{1}{2}\le x\le \frac{9}{2}$

$x\le \frac{1}{2} or, x\ge \frac{9}{2}$

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

$\frac{1}{2}\le x\le 9 or x\le \frac{29}{2}$

$\pm 2$

$\pm 4$

$\pm 6$

$\pm 8$

1

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

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

$\theta =2n\pi \pm \mathrm{\pi }/2$

$\mathrm{\theta }=2\mathrm{n\pi } \pm \mathrm{\pi }/3$

$\mathrm{\theta }=2\mathrm{n\pi } \pm \mathrm{\pi }/4$

$\mathrm{\theta }=2\mathrm{n\pi }\pm \mathrm{\pi }/5$

$2 \tan 18°$

$2 \cot 27°$

$-2\tan 81°$

$-2 \tan 72°$

10 sq. units

15 sq. units

4 sq. units

18 sq. units

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

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

$\frac{2\mathrm{sinx}}{\sqrt{\mathrm{tanx}}}$

$\frac{\tan 2\mathrm{x}}{\sqrt{\sin 2\mathrm{x}}}$

5x -2y +7 =0

2x -5y +1 =0

2x + 5y -1=0

2x -5y -1=0

60

65

70

75

$\frac{1}{2}$

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

$-\sqrt{2}$

$\sqrt{2}$

$3 \mathrm{cosA} - 4{\cos }^3\mathrm{A}$

$3\mathrm{sinA} - 4{\sin }^3\mathrm{A}$

$4 \mathrm{cosA} - 3 {\cos }^3\mathrm{A}$

$4{\sin }^3\mathrm{A} - 3\mathrm{sinA}$

$\frac{2}{11}$

$\frac{3}{11}$

$\frac{1}{5}$

$\frac{3}{10}$

$\left({\tan }^{-1}\mathrm{x}\right)1\mathrm{n}(1+{\mathrm{x}}^2)$

$\frac{1}{2}({\tan }^{-1} \mathrm{x}{)}^2$

$(\frac{1}{2}{\tan }^{-1}\mathrm{x}{)}^2$

$\frac{1}{2} {\tan }^{-1}\mathrm{x}$

1110011

1110111

1111011

1101111

e

2e

3e

4e