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Matematika attestatsiya №13

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Iyul 21, 2022

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

1. $y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 203

B) 201

C) 200

D) 289

2 / 40

2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-x+5

B) f(x)+2x²-1

C) f(x)=x²-4

D) f(x)=x²+3x+7

3 / 40

3. Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 34

B) 32

C) 40

D) 36

4 / 40

4. Tenglamani yeching:

A) 6/5

B) 9/5

C) 5*4

D) 5/9

5 / 40

5. √3

A) 7/3

B) 5/5

C) 21/10

D) 3/2

6 / 40

6. x = 2768324, y = 5832641 bo‘lsa, 3x² + 2xy + y³ sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 4

B) 7

C) 2

D) 5

7 / 40

7. Agar bo‘lsa, tgα ni toping.

A) 4

B) 3

C) 1

D) 2

8 / 40

8. Agar x+1/x=1 bo'lsa, ning qiymatini toping.

A) 1/3

B) 2

C) -1/2

D) 3

9 / 40

9. 720 ning 50%i 18 ning 500%idan necha foizga ko’p?

A) 200

B) 300

C) 320

D) 400

10 / 40

10. Quyidagi chizmada tasvirlangan radiusi 4 ga teng boʻlgan, 3 ta teng yarim aylanadagi A, B, C, D nuqtalar toʻgʻri toʻrtburchakning uchlari deb qabul qiling va boʻyalgan sohani yuzini toping.

A) 12π

B) 8π

C) 24

D) 32

11 / 40

11. a<0 ifodani soddalashtiring.

A) -3

B) -2

C) -1

D) 0

12 / 40

12. To'g'ri burchakli uchburchakning yuzi 96 ga, perimetri esa 48 ga teng bo'lsa, gipatenuza uzunligini toping.

A) 23

B) 20

C) 21

D) 18

13 / 40

13. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²/2π

B) b²+b²/2π

C) b²-2π

D) b²-b²/2π

14 / 40

14. k va l ning qanday qiymatlarida y=k/x giperbola va y=kx+l to’g’ri chiziq M( -1;1) nuqtalardan o’tadi.

A) -1;-2

B) -1; 2

C) 1;0

D) -1; 0

15 / 40

15. f(x+10)=f(x)·f(x-10)-x f(0)=1/2 va f(10)=30 bo’lsa, f(20)=?

A) 6

B) 2

C) 5

D) 30

16 / 40

16. x ning qanday qiymatida lg2; lg(2^x-1); lg(2^x+3) arfimetik progressiyani tashkil qiladi?

A) log₅2

B) 3

C) 2

D) log₂5

17 / 40

17. Quydagi to’g’ri to’rt burchak yuzasining eng kichchik qiymatini toping.

A) 4

B) 1

C) 2

D) 3

18 / 40

18. 1,2,3,4,2,3,1,4,5,3,2,12,3,4,2,1,3,2,1,4,3,2,1,2,3,4,2,1,2,3. Chastotasi eng kata bo’lgan songa 3 ni qo’shsak achiqsa. a²= ?

A) 16

B) 49

C) 25

D) 36

19 / 40

19. Agar tg(x+y)=3 va tg(x-y)=2 bo’lsa tg2x+5 ning yarmini toping

A) 2

B) -1

C) 1

D) 5

20 / 40

20. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.

A) 2π²

B) α²

C) 3π²/4

D) π²/4

21 / 40

21. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 22/25

C) 12/15

D) 24/25

22 / 40

22. To’g’ri burchakli uchburchakning katetlari 5 sm va 12 sm. Uchburchakka ichki chizilgan aylananing radiusini toping.

A) 4 sm;

B) 2 sm;

C) 3 sm;

D) 2 m;

23 / 40

23. Aniqmas integralni hisoblang.

A) lnx+c

B) xlnx-x+c

C) ln(lnx)

D) ln(lnx)+c

24 / 40

24. y=arcsin(-x-1) funksiyani aniqlanish sohasini toping.

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤2

D) -2≤x≤0

25 / 40

25. Meshdagi suv Sarvarning o'ziga 20 kunga, Behruzga esa 60 kunga yetadi. Meshdagi suv ikkalasiga necha kunga yetadi?

A) 16

B) 15

C) 12

D) 14

26 / 40

26. f(x)=2·tgx funksiyaning x₀=π nuqtadagi hosilasini toping.

A) 2

B) 0

C) -2

D) 1

27 / 40

27. Agar ln(ab)=2x ba ln(a/b)=2y bo'lsa, a=?

A) III

B) II

C) IV

D) I

28 / 40

28. funksiyaga teskari funksiyani toping.

A) I

B) III

C) II

D) IV

29 / 40

29. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) 2b/(3-b)

C) 3b/(2+b)

D) (3-b)/2b

30 / 40

30. Konus o’q kesimi yuzi 4√3 ga teng muntazam uchburchakdan iborat. Konus to’la sirtini toping?

A) 6π

B) 18π

C) 12π

D) 24π

31 / 40

31. y=6x+18 to’g’ri chiziq bilan chegaralangan soha yuzini toping.

A) 12

B) 48

C) 27

D) 18

32 / 40

32. Agar f(x)=x³─5x²+2x+a va f "(2)=f(2) bo’lsa, a ning qiymatini toping.

A) 12

B) 10

C) 5

D) 6

33 / 40

33. Teng yonli uchburchakning asosi yon tomonidan 15 ga ortiq uchburchakning asosiga tushirilgan balandligi 15 ga teng bo’lsa , uning asosini toping.

A) 42

B) 36

C) 20

D) 40

34 / 40

34. ifoda x ning nechta qiymatida ma’noga ega emas?

A) 2

B) 3

C) 1

D) 4√2/9

35 / 40

35. sin (2arccos1/3) ni hisoblang.

A) 2/3

B) 4√4/9

C) 4√2/9

D) 2/9

36 / 40

36. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 14

B) 7

C) 6

D) 9

37 / 40

37. y₁ va y₂ y² + my + n = 0 tenglamaning ildizlari, y₁ va y₂ ning har birini 4 taga orttirib, ildizlari hosil bo'lgan sonlarga teng kvadrat tenglama tuzildi. Agar uning ozod hadi n -24 (n dastlabki tenglamaning ozod hadi) ga teng bo'lsa, m nechaga teng?

A) 10

B) 9

C) 11

D) 12

38 / 40

38. Uchburchakning b va c ga teng tomonlari orasidagi burchagi 30⁰ ga teng. Uchburchakning uchunchi tomoni 12 ga teng bo'lsa hamda uning tomonlari c² = b² + 12b + 144 shartni qanoatlantirsa, c ning qiymatini toping.

A) 24√3

B) 6√3

C) 12

D) 12√3

39 / 40

39. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?