1 . x- 1 ⁄ x=5 হলে x2+1 ⁄ x2=কত?

• A. 21
• B. 27
• C. 28
• D. 29

Answer: Option B

Explanation:

2 . Which of the following is a solution to the equation x+x2=1 ---

• A. 1
• B.
• C. 1/2
• D. None of these

Answer: Option D

Explanation:

3 . A=xx ধনাত্মক পূরর্ণ সংখ্যা এবং x2<25, B=xx মোৌলিক সংখ্যা এবং x2<25, C=xx মোৌলিক পূর্ণ সংখ্যা এবং x2=25

• A. $\left\{1,2,3,4\right\}$
• B. $\left\{2,3,4\right\}$
• C. $\left\{2,3,4,5\right\}$
• D. $\varnothing$

Answer: Option D

Explanation:

4 . x3-0.001=0,x2=?

• A. $100$
• B. $10$
• C. $\frac{1}{10}$
• D. $\frac{1}{100}$

Answer: Option D

Explanation:

5 . log10x2=log10x2

• A. $1,0$
• B. $1,10$
• C. $1,100$
• D. $10,100$

Answer: Option C

Explanation:

6 . x4-x2+1=0

• A. $3$
• B. $1$
• C. $2$
• D. $4$

Answer: Option B

Explanation:

7 . x>0

• A. $4$
• B. $3$
• C. $2$
• D. $0$

Answer: Option A

Explanation:

8 . x2=?

• A. $x^2$
• B. $x$
• C. $-x$
• D. $\pm x$

Answer: Option D

Explanation:

9 . x+1x=2

• A. 0
• B. -2
• C. -3
• D. -1

Answer: Option A

Explanation:

10 . x-1x=4

• A. 18
• B. 16
• C. 14
• D. 22

Answer: Option A

Explanation:

11 . x-1x=4

• A. 18
• B. 16
• C. 11
• D. 15

Answer: Option A

Explanation:

12 . x-1x2=3

• A. $0$
• B. $6$
• C. $6\sqrt{3}$
• D. $9$

Answer: Option C

Explanation:

13 . 9x2=6x-2

• A. -2
• B. 2
• C. 3
• D. 0

Answer: Option D

Explanation:

14 . 25x2=y2-4

• A. $25x^2+4=y^2$
• B. $75x^2=3y^2-12$
• C. $25x^2=\left(y+2\right)\left(y-2\right)$
• D. $5x=y-2$

Answer: Option D

Explanation:

15 . x2=4x

• A. 4
• B. 3
• C. 2
• D. 0

Answer: Option A

Explanation:

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

• A. -5
• B. -4
• C. -3
• D. -2

Answer: Option D

Explanation:

17 . x4-x-1=0

• A. 0
• B. 1
• C. 2
• D. 4

Answer: Option B

Explanation:

18 . x4-x2+1=0

• A. 4
• B. 2
• C. 1
• D. 0

Answer: Option C

Explanation:

19 . 4x2+7x2+3x2=?

• A. $14x^4$
• B. $14x^6$
• C. $14x^2$
• D. $12x^2$

Answer: Option C

Explanation:

20 . 4y2-5x2=20

• A. $3x=\pm 5$
• B. $3x=\pm \frac{1}{5}$
• C. $3y=\pm \frac{1}{5}$
• D. $3y=\pm 5$

Answer: Option D

Explanation:

21 . 2y2-x2=1

• A. $\sqrt{\frac{3}{2}}$
• B. $\sqrt{3}$
• C. $\frac{3}{2}$
• D. 3

Answer: Option B

Explanation:

22 . ∫dx25-4x2=কত ? 

• A. $\frac{1}{2}{\sin }^{-1}\frac{2x}{5}+k$
• B. $\frac{5}{2}{\sin }^{-1}\frac{2x}{5}+k$
• C. $\frac{5}{2}{\cos }^{-1}\frac{2x}{5}+k$
• D. ${\sin }^{-1}\frac{2x}{5}+k$

Answer: Option A

Explanation:

23 . tan-12x1-x2=sin-12a1+a2+cos-11-b21+b2

• A. $\frac{a-b}{1+ab}$
• B. $\frac{a+b}{1-ab}$
• C. $\frac{2ab}{1+ab}$
• D. $\frac{2ab}{1-ab}$

Answer: Option B

Explanation:

24 . ∫xdx1-x2=?

• A. $-\sqrt{x}+C$
• B. $-\sqrt{1-x}+C$
• C. $\sqrt{1-x^2}+C$
• D. $-\sqrt{1-x^2}+C$

Answer: Option D

Explanation:

25 . tansin-11-x2=sincos-115

• A. $\pm \frac{\sqrt{5}}{3}$
• B. $\frac{\sqrt{5}}{3}$
• C. $-\frac{\sqrt{5}}{3}$
• D. $\frac{5}{3}$

Answer: Option A

Explanation: