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1066 . $2 x^{2} - x - 3$ -এর উৎপাদক কোনটি?

A. (2x-3)(x+1)
B. (2x-3)(x-1)
C. (2x+3)(x+1)
D. (2x+3)(x-1)

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Answer: Option A

Explanation:

2x^2 - x - 3 = 2x^2 + 2x - 3x - 3 = 2x(x + 1) - 3(x + 1) = (2x - 3) (x + 1).

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প্রাথমিক বিদ্যালয় প্রধান শিক্ষক নিয়োগ পরীক্ষা-2012-(ড্যাফোডিল-02) (12-10-2012)

1067 . $a^{2} + b^{2} = 45$ এবং a - b = 3 হলে ab এর মান নির্ণয় করুন।

A. 21
B. 18
C. 13
D. 24

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Answer: Option B

Explanation:

{(a - b)}^{2} = a^{2} + b^{2} - 2 a b = 3^{2} = 45 - 2 a b = 9 = 45 - 2 a b = 2 a b = 36 a b = 18

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1068 . 2x2-5x-7 এর উৎপাদক -

A. $(2 x + 7) (x - 1)$
B. $(x - 1) (2 x - 7)$
C. $(2 x - 7) (x + 1)$
D. $(2 x - 7) (x + 3)$

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Answer: Option C

Explanation:

2x√ - 5x - 7

= 2x√ - 7x + 2x - 7

= x(2x - 7) + 1(2x - 7)

= (2x - 7)(x + 1).

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1069 . $(x - y) = 10, x y = 5$ হলে , ${(x + y)}^{2} =$ কত?

A. 80
B. 120
C. 110
D. 90

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Answer: Option B

Explanation:

দেওয়া আছে, x - y = 10 এবং xy = 5 x^{2} + y^{2} = {(x - y)}^{2} + 4 xy = {(10)}^{2} + 4.5 = 100 + 20 = 120

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1070 . $\{{(x + y)}^{- 1} - (x - y) \times 2 y {(x^{2} - y^{2})}^{- 1}\}$ রাশিটির মান কত?

A. 1
B. $\frac{- 4 y^{2}}{{(x^{2} - y^{2})}^{2}}$
C. 2
D. -1

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Answer: Option B

Explanation:

\{{(x + y)}^{- 1} - {(x - y)}^{- 1}\} \times 2 y {(x^{2} - y^{2})}^{- 1} \{\frac{1}{x + y} - \frac{1}{x - y}\} \times \frac{2 y}{x^{2} - y^{2}} \frac{x - y - x - y}{(x + y) (x - y)} \times \frac{2 y}{x^{2} - y^{2}} \frac{- 2 y}{x^{2} - y^{2}} \times \frac{2 y}{x^{2} - y^{2}} \frac{- 4 y^{2}}{{(x^{2} - y^{2})}^{2}}

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1071 . $x - y = 4$ এবং $x y = 0$ হলে, $x^{3} - y^{3}$ =কত?

A. –64
B. +-64
C. 64
D. 128

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Answer: Option C

Explanation:

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1072 . যদি z=x+iy হয়, তবে 2z-1=z-2 দ্বারা বর্ণিত সঞ্চার পথের সমীকরণ নির্ণয় করুন

A. $x^{2} + y^{2} = 4$
B. $z^{2} + y^{2} = 1$
C. $2 (x^{2} + + y^{2}) = 1$
D. $3 (x^{2} + y^{2}) = 4$

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Answer: Option B

Explanation:

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1073 . পরমমান চিহ্ন ব্যবহার করে নিম্নের অসমতাটিকে প্রকাশ করুন : $- 3 < x < 2 .$

A. $|x + 1| < 5$
B. $|x - 1| < 5$
C. $|2 x - 1| < 5$
D. $|2 x + 1| < 5$

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Answer: Option D

Explanation:

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1074 . $x^{2} - 4 x + 3 = 0$ হয়, তবে ${(x - 2)}^{2}$ এর মান কত?

A. -1
C. 1
D. 2

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Answer: Option C

Explanation:

দেওয়া আছে, x^{2} - 4 x + 3 = 0 x^{2} - 3 x - x + 3 = 0 x (x - 3) - 1 (x - 3) = 0 (x - 3) (x - 1) = 0 অতএব, x - 3 = 0 x = 3 এবং x - 1 = 0 x = 1 এখন x = 3 হলে {(x - 2)}^{2} = {(3 - 2)}^{2} = 1^{2} = 1 আবার x = 1 হলে {(x - 2)}^{2} = {(1 - 2)}^{2} = - 1^{2} = 1

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1075 . $2 x^{2} - x - 3$ -এর উৎপাদক কোনটি?

A. (2x-3)(x+1)
B. (2x-3)(x-1)
C. (2x+3)(x+1)
D. (2x+3)(x-1)

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Answer: Option A

Explanation:

2x^2 - x - 3 = 2x^2 + 2x - 3x - 3 = 2x(x + 1) - 3(x + 1) = (2x - 3) (x + 1).

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বাংলাদেশ বেসামরিক বিমান চলাচল কর্তৃপক্ষ || উচ্চমান হিসাব সহকারী (10-11-2023)

A. 1, 2
B. 2 - 1
C. -1, 2
D. - 2, 1

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Answer: Option B

Explanation:

এখানে, বজ্রগুণন করে পাই,

x/(-9+35)=y/(-28+15)=1/(25-12)

=>x/26=y/-13=1/13

so,x=2;y=-1

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প্রাথমিক বিদ্যালয় প্রধান শিক্ষক নিয়োগ পরীক্ষা-2008-(ঢাকা বিভাগ-01) (18-04-2008)

1077 . $a^{2} - b^{2}$ হলে $a^{2} + b^{2}$ রাশি দুইটির গ.সা.গু কত?

A. 1
B. (a-b)
C. (a+b)
D. $(a^{2} - b^{2}) (a^{2} + b^{2})$

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Answer: Option C

Explanation:

(a^{2} + b^{2}) = (a + b) (a + b) (a^{2} - b^{2}) = (a + b) (a - b) গ . সা . গু (a + b)

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বিভিন্ন মন্ত্রণালয় | ব্যক্তিগত কর্মকর্তা | 22-03-2022

1078 . $a^{2} + 2 a b - 2 b - 1$ বীজগাণিতিক রাশিটির একটি উৎপাদক

A. a+1
B. b+1
C. a-2
D. a-1

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Answer: Option D

Explanation:

আমরা জানি . a^{2} + ab - 2 b - 1 = a^{2} + ab + b^{2} - b^{2} - 2 b - a = {(a + b)}^{2} - (b^{2} + 2 \times b \times 1 + 1^{2}) = {(a + b)}^{2} - {(b + 1)}^{2} = (a + b + b + 1) \{(a + b) - (b + 1)\} = (a + 2 b + 1) (a + b - b - 1) = (a + 2 b + 1) (a - 1)

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1079 . $a + \frac{1}{a} = 3$ হলে $a^{2} + \frac{1}{a^{2}} =$ কত?

A. 11
B. 13
C. 7
D. 9

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Answer: Option C

Explanation:

a2 + 1/a2 = (a + 1/a)2_2*a*1/a

= 32_2

= 9_2

= 7.

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1080 . $x^{3} + 1$ এবং $x^{2} - 1$ এর গ.সা.গু কত?

A. X+1
B. X-1
C. (X+1)( X-1) (X2-X+1)
D. X( X-1)

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Answer: Option A

Explanation:

x³ + 1 = (x + 1)(x² - x + 1)

x² – 1 = (x + 1)(x - 1)

∴ নির্ণেয় গ.সা.গু = x + 1.

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1076 . 5x + 3y = 7 এবং 4x + 5y = 3 হলে, x ও y এর মান হবে যথাক্রমে-

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