### শাহজালাল বিজ্ঞান ও প্রযুক্তি বিশ্ববিদ্যালয়

#### B ইউনিট

##### 1. ফাংশনের ডোমেন ও রেঞ্জ { a, b, c, d} হলে কোনটি ‘এক-এক ‘ ফাংশন?

f(a) = b, f(b) = c, f(c) = d, f(d) = a

f(a) = b, f(b) = c, f(c) = b, f(d) = a

f(a) = b, f(b) = c, f(c) = d

f(a) = b, f(b) = c, f(c) = d, f(c) = a

1

6

5

4

2, 135°

√2, -135°

√2, 135°

√2, -135°

2

3

4

5

5

10

12

15

##### 6. হলে $\frac{dx}{dx}$

$\left(y-2{x}^{2}y\right)/\left(2x{y}^{2}-x\right)$

$\left(y-2{x}^{3}\right)/\left(y-2{x}^{3}\right)$

$\left(2{x}^{3}-x\right)/\left(y-2{x}^{3}\right)$

$\left(y-2{x}^{2}y\right)/\left(x-2x{y}^{2}\right)$

0.5

1.0

1.5

2.0

2x-3y=5

y-8=0

x-y=0

x-8=0

111011,2012

111011, 2102

110111, 2012

11011, 2102

##### 10. ${\int }_{0}^{5}\frac{xdx}{\sqrt{1-{x}^{2}}}=?$

$-1+2\sqrt{6}i$

$1-2\sqrt{6}$

$-1+2\sqrt{6}$

##### 11. ${\int }_{0}^{5}\frac{xdx}{{x}^{2}-5x+6}=?$

In (32/9)

$In\left(\frac{8}{9}$

In (41)

In (1/41)

0.152829

1.113943

1.783548

1.986772

4√mn

4mn

1/(mn)

1/√ (mn)

5

7

12

25

4/(9x)

9/(4x)

4/(9x²)

2/(3x³)

x²+ 6x -13=0

x²+ 5x -4=0

x²- 5x -4=0

x²- 6x +13=0

4x+3y+9=0

3x+4y-9=0

4x+3y-9=0

3y+4x-9=0

-1

-2

-3

-4

##### 20. $\left(2{x}^{2}-1/x{\right)}^{9}$ বিস্তৃতিতে ধ্রুবক পদটি কত?

360

672

None

RightAns: 0 | WrongAns: 0 | Result: 0/0