2. Ikki sonning ko’paytmasi 5292 ga teng. Ularning ekuki 252 ga teng bo’lsa ekubini toping

Imtixon

1. To’g’ri to’rtburchak shaklidagi oynaning bo’yi enidan 30 sm ortiq. Uni deraza romiga o’rnatish uchun bo’yi va enidan 10 sm dan olib tashlandi. Agar kesib tashlangan bo’laklar yuzalari yig’indisi 1400 sm² bo’lsa, To’rtburchak tomonlarini toping.

A) 40 va 70 B) 55 va 80 C) 55 va 85 D) 60 va 90

2. x²+px+q=0 tenglamaning ildizlari x²+mx+n=0 tenglama ildizlariga teskari bo’lsa,

(pn-n)(qm-p) ning qiymatini toping. A) aniqlab bo’lmaydi B) 1 C) -1 D) 0

3. tengsizlikni yeching.

A) (0;∞) B) (-∞;-1,5]U[1;∞) C) (-∞;0)U(0;∞) D) [-1,5;0)U(0;1]

4. bo’lsa, 2x+y ning qiymatini toping. A) 10 B) 3 C) -2 D) 12

5. Arifmetik progressiyaning 3- hadi x ga ayirmasi d ga teng bo’lsa uning dastlabki 4 ta hadining ko’paytmasini toping. A) x⁴-5x²d²+4d⁴ B) 4x+2d C) x³-4x²d+4xd² D) x⁴+2xd³-x²d²-2dx³

6. Quydagi funksiyalarning qaysilari toq funksiya I.f(x)=(x-4)²+8x II.f(x)=x³+x III. f(x)=x⁴+x²+5 IV.f(x)=x²-4x+4 V.f(x)= A) I va III B) II va III C) faqat II D) II;IV;V

7. (x²-6x)²+4(x-3)²=41 tenglamaning haqiqiy ildizlar yig’indisini toping. A) 12 B) 6 C) 0 D) -6

8. Sonlarni o’sish tartibida joylashtiring. a=6/7 b=60/77 c=600/767

A) b9. Quydagi kasrlarning nechtasini chekli o’nli kasr shaklida ifodalab bo’lmaydi.

1)111/275 2) 154/35 3) 47/141 4) 267/75 5)44/275 A) 1 B) 2 C) 3 D) 4

10. ning qiymatini hisoblang.

A) 147,625 B)

11. tenglama a ning qanday qiymatlarida yechimga ega emas

A) a>0 B) a<23/12 C) a<0 D) a<23/4

12. tengsizlikni yeching.

A) R B) yechimga ega emas C) (1;6) D) (-∞;1)(6;∞)

13. Agar a;b va c sonlar manfiy bo’lsa, ax+by+c=0 to’g’ri chiziq qaysi choraklardan o’tadi

A) II;III va IV B) I;III va IV C) I;II va III D) I;II va IV

14. tenglama nechta ildizga ega

A) 1 B) 2 C) 0 D) 4

15. 2x³-ax²+(a-2)x+6=0 tenglama 3 ta ildizga ega bo’lib ulardan biri -0,5 ga teng bo’lsa qolgan ikki ildizining yig’indisini toping. A) 1 B) 5 C) 4,5 D) 8,5

16. Sayyohlar xaritada 14 sm bo’lgan masofani bosib o’tishlari kerak. Xaritaning masshtabi 1:2000000 va sayyohlar mashinasining o’rtacha tezligi 80 km/ soat bo’lsa, ular bu masofani necha soatda bosib o’tadilar. A) 3,5 B) 2,5 C) 3 D) 2

17. funksiyaga teskari bo’lgan funksiyani toping.

A) y=(4x-9)/(2-3x) B) y=(9x-4)/(2x-3) C) y=(4x-9)/(3x-2) D) y=(3x+4)/(2x+9)

18. 343536…606162 sonini 9 ga bo’lgandagi qoldiqni toping.

A) 0 B) 2 C) 3 D) 6

19. 34;51 va x sonlarining EKUKi 510 ga EKUBi esa 15 ga bo’lsa x sonini eng kichik qiymatini toping. A) 170 B) 255 C) 85 D) 68