1 . x2+y2=18এবং xy=6 (x−y)2এর মান কত ?

• A. 4
• B. 6
• C. 8
• D. 12

Answer: Option B

Explanation:

2 . x2+y2+z2=2, xy+yz+zx=1

• A. 12
• B. 19
• C. 16
• D. 14

Answer: Option D

Explanation:

3 . x2+y2=185, x-y=3

• A. $\left(7,4\right)$
• B. $\left(9,6\right)$
• C. $\left(10,7\right)$
• D. $\left(11,8\right)$

Answer: Option D

Explanation:

4 . x+y=3,x2+y2=5

• A. $34$
• B. $9$
• C. $45$
• D. $54$

Answer: Option B

Explanation:

5 . x+y=2,x2+y2=4,x3+y3=?

• A. 8
• B. 9
• C. 16
• D. 25

Answer: Option A

Explanation:

6 . x2+y2+z2=4,x+y-z=8

• A. $-60$
• B. $-30$
• C. $30$
• D. $60$

Answer: Option B

Explanation:

7 . x-y2=14

• A. 12
• B. 14
• C. 16
• D. 18

Answer: Option D

Explanation:

8 . x+y=8,x-y=6

• A. 40
• B. 60
• C. 50
• D. 80

Answer: Option C

Explanation:

9 . x-y2=12

• A. 14
• B. 11
• C. 12
• D. 13

Answer: Option A

Explanation:

10 . x+y=2,x2+y2=4 হলে

• A. $4$
• B. $8$
• C. $12$
• D. $16$

Answer: Option B

Explanation:

11 . x+y=2

• A. $2$
• B. $14$
• C. $8$
• D. $1$

Answer: Option C

Explanation:

12 . x2+y2=18

• A. 4
• B. 6
• C. 8
• D. 12

Answer: Option B

Explanation:

13 . x+y=5, x-y=3

• A. 17
• B. 18
• C. 20
• D. 22

Answer: Option A

Explanation:

14 . x2+y2=25

• A. 6
• B. 7
• C. 8
• D. 9

Answer: Option B

Explanation:

15 . x2+y2/x2-y2

• A. -10/9
• B. 5/4
• C. -5/4
• D. -5/3

Answer: Option C

Explanation:

16 . x2+y2=4 x3 + y3

• A. 6
• B. 7
• C. 8
• D. 10

Answer: Option C

Explanation:

17 . x+y=7

• A. 7
• B. 25
• C. 65
• D. 91

Answer: Option D

Explanation:

18 . x2+y2=4 x3+y3

• A. 4
• B. 8
• C. 12
• D. 16

Answer: Option B

Explanation:

19 . x2+y2+x2=5,x+y+z=3

• A. -5
• B. -4
• C. -3
• D. -2

Answer: Option D

Explanation:

20 . x2+y2=xy

• A. $x^2{y}^2$
• B. xy
• C. ${\left(x^2+y^2\right)}^2$
• D. $9x^2{y}^2$

Answer: Option D

Explanation:

21 . x2+y2+z2=2,x+y+z=2

• A. 0
• B. 1
• C. 2
• D. 3

Answer: Option C

Explanation:

22 . x2+y2+b=8,xy=7

• A. ১৪
• B. ১৬
• C. ২২
• D. ৩০

Answer: Option C

Explanation:

23 . x-y2=12

• A. 14
• B. 11
• C. 12
• D. 13

Answer: Option A

Explanation:

24 . x2+y2-4x+5y+9=0

• A. $r^2+r\left(5\sin \theta +4\cos \theta \right)+9=0$
• B. $r^2+r\left(5\sin \theta -4\cos \theta \right)+9=0$
• C. $r^2-r\left(5\sin \theta +4\cos \theta \right)+9=0$
• D. $r^2-r\left(5\sin \theta -4\cos \theta \right)+9=0$

Answer: Option D

Explanation:

25 . x2+y2+4x+6y-12=0

• A. $x^2+y^2+8x+10y+59=0$
• B. $x^2+y^2-8x-10y+59=0$
• C. $x^2+y^2-8x-10y-59=0$
• D. $x^2+y^2+8x+10y-59=0$

Answer: Option C

Explanation:

26 . x2+y2=5

• A. 9
• B. 1
• C. 3
• D. $\sqrt{8}$

Answer: Option D

Explanation:

27 . x2+y2-9x=0

• A. $r=9\cos \theta$
• B. $r=3\cos \theta$
• C. $r+9\cos \theta =0$
• D. $r+3\cos \theta =0$

Answer: Option A

Explanation:

28 . 2x2+y2-3x+4y=0

• A. $\frac{5}{4}$
• B. $\frac{4}{5}$
• C. $\frac{2}{5}$
• D. $\frac{2}{6}$

Answer: Option A

Explanation:

29 . sin-1x+sin-1y=π2

• A. 1
• B. 2
• C. 3
• D. 4

Answer: Option A

Explanation:

30 . x2+y2+8x-c=0

• A. 10
• B. -10
• C. 20
• D. 1

Answer: Option A

Explanation:

31 . x2+y2+8x-4y-5=0

• A. (-4,2)
• B. (4,-2)
• C. (2,-1)
• D. (4,2)

Answer: Option A

Explanation:

32 . x2+y2=9

• A. $x+y\pm 3\sqrt{2}=0$
• B. $x-y\pm 3\sqrt{2}=0$
• C. $x+2\pm 2\sqrt{3}=0$
• D. $x-y\pm 2\sqrt{3}=0$

Answer: Option B

Explanation:

33 . x2+y2+3x-5y+2=0

• A. 5x - y - 3 = 0
• B. x + y + 2 = 0
• C. x - 5y - 3 = 0
• D. $x^2+y^2=2$

Answer: Option A

Explanation:

34 . x2+y2+2gx+2∫y+c=0

• A. $g^2>c$
• B. $g^2<c$
• C. ${\int }^2>c$
• D. ${\int }^2<c$

Answer: Option A

Explanation:

35 . x2+y2=36

• A. x + 2y-5=0
• B. x - 2y+5=0
• C. x+2y-10=0
• D. 2x+y-5=0

Answer: Option A

Explanation:

36 . x2+y2-8x-12y+p=0

• A. 16
• B. -18
• C. -16
• D. 18

Answer: Option A

Explanation:

37 . x2+y2=p2

• A. $10$
• B. $1$
• C. $4$
• D. $6$

Answer: Option B

Explanation:

38 . x2+y2+2x+3y+11=0

• A. 2x+1=0
• B. 2x+y=0
• C. x+y=0
• D. x+2y=0

Answer: Option D

Explanation:

39 . 2x2+y2-8x-2y+1=0

• A. (2, 1)
• B. (-2,1)
• C. (1, 2)
• D. (1,-2)

Answer: Option A

Explanation:

40 . x2+y2=2ax

• A. $x^2+y^2+3ax+by=0$
• B. $x^2+y^2-3ax+by=0$
• C. $x^2+y^2-3ax-by=0$
• D. $x^2+y^2+3ax-by=0$

Answer: Option B

Explanation:

41 . x2+y2-gx=0

• A. $\frac{1}{8}\mathrm{\pi } {\mathrm{g}}^2$
• B. $\frac{1}{4}\mathrm{\pi } {\mathrm{g}}^2$
• C. $\frac{1}{2}\mathrm{\pi } {\mathrm{g}}^2$
• D. $\mathrm{\pi } {\mathrm{g}}^2$

Answer: Option B

Explanation:

42 . x2+y2+3x-5y+2=0

• A. $x-5y+3=0$
• B. $5x-2y-3=0$
• C. $5x-y-3=0$
• D. $2x-5y+3=0$

Answer: Option C

Explanation:

43 . x2+y2=16

• A. $\sqrt{14}$
• B. $2\sqrt{14}$
• C. $2\sqrt{2}$
• D. $2\sqrt{7}$

Answer: Option B

Explanation:

44 . 3x+4y=k

• A. $8,-30$
• B. $-8,30$
• C. $-10,40$
• D. $10,-40$

Answer: Option C

Explanation:

45 . x2+y2−6x−4y+c = 0 রেখাটি y অক্ষকে স্পর্শ করলে c =?

• A. 4
• B. 5
• C. 7
• D. 11

Answer: Option A

Explanation:

46 . x2+y2=9

• A. $x+y\pm 3\sqrt{2}=0$
• B. $x-y\pm 3\sqrt{2}=0$
• C. $x+2\pm 2\sqrt{3}=0$
• D. $x-y\pm 2\sqrt{3}=0$

Answer: Option B

Explanation: