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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 18

B) 25

C) 22

D) 20

2 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 2

B) 1

C) 0

D) 3

3 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 11/5

B) 68/15

C) 67/15

D) 31/85

4 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 2

B) 6

C) 8

D) 4

5 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 11

B) 14

C) 12

D) 13

6 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 1

B) 12

C) 7

D) 5

7 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 64

B) 32

C) 16

D) 48

8 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 1

B) 4

C) 2

D) 3

9 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 2

B) 5

C) 4

D) 1

10 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 1

C) 5

D) 9

11 / 40

Tenglamalar sistemani yeching:

A) (9; 0), (2; 7)

B) (2; 3)

C) (7; 2), (28; -1)

D) (9; 0), (28; -1)

12 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 35

B) 14

C) 23

D) 24

13 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 4

B) 3

C) 2

D) 1

14 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

15 / 40

Hisoblang:

A) 10/11

B) 9/10

C) 20/21

D) 19/20

16 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) -π/4+πk, k∈Z

B) 0

C) Ø

D) π/4+πk, k∈Z

17 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 8

C) 6

D) 5

18 / 40

Hisoblang:

A) 0

B) 1/32

C) -√3/2

D) -1/2

19 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 4

C) 3

D) 2

20 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 13

B) 15

C) 12

D) 14

21 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 4

C) 11

D) 5

22 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 8

B) 20

C) 10

D) 15

23 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) 4 √3tg50° tg70°

B) √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

24 / 40

tenglamaning ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 5

B) 8

C) -2

D) 3

25 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 7

B) 11

C) 5

D) 10

26 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 2√3

D) 4√3

27 / 40

Hisoblang:

A) 1

B) cos50°

C) cos10°

D) sin10°

28 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 3 yoki –8

B) 6

C) 4 yoki –12

D) 5 yoki –15

29 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 116

D) 112

30 / 40

sonlarini taqqolsang.

A) c

B) b

C) a

D) c

31 / 40

√3

A) 5/5

B) 7/3

C) 3/2

D) 21/10

32 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 105

B) 25

C) 96

D) 100

33 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.