Kimki hammasini erta qilsa, O’zining muvaffaqiyatidan haqqoniy rohatlana oladi

KIMKI HAMMASINI ERTA QILSA, O’ZINING MUVAFFAQIYATIDAN HAQQONIY ROHATLANA OLADI_{(HARVARD UNIVERSITY)}
B4 GURUH 05.06.2022

1. Agar x=4,5 va y=3,5 bo`lsa,

ni hisoblang.
A)10 B)9,5 C)8 D)7,2
2. Agar a=5,2 bo`lsa,
ning qiymatini toping.
A)1,5 B)-2,5 C)-1,5 D)2,4
3. Agar kvadrat tenglamaning ildizlari va bo’lsa,
A) 4 B) 2 C) 6 D) –7
4. Usbu tenglama a ning qanday qiymatlarida yagona yechimga ega?
A) B) C)
D) E)
5. ABC to’gri burchakli uchburchakdа gipоtеnuzаgа CD bаlаndlik o’tkazilgаn. Аgаr vа BD= 2 bo’lsa , gipоtеnuzаning uzunligini toping.
А) 8 B) 9 C) 6 D) 7
6. soddalashtiring.
A) - sin α B) 2 tg α C) 2 sin α D) cos α
7. Agar x+y+2z=13, x+2y+z=12 va 2x+y+z=11 bo`lsa, x+y ning qiymati nechaga teng bo`ladi.
A)4 B)6 C)5 D)3

8. lg2=m, lg5=n va lg1400=p bo’lsa, lg7=?

A) p+3m+2n B) p–3m–2n
C) p–2m–3n D) p+2m+3n
9. Agar x>3 va y<-3 bo’lsa quyidagi tengsizliklardan qaysi biri doimo o’rinli bo’ladi?
A) B)xy<-9
C) D)
10. Tenglamaning nechta ildizi bor?

A) Ø B)1 C)2 D)3
11. Ushbu
tengsizlikni qanoatlantiruvchi butun sonlar nechta?
A) B)1 C)2 D)3
12.
tengsizlikning butun sonlardan iborat nechta
yechimi bor? A)6 B)5 C)3 D)4
13. To’g’ri burchakli uchburchakning A to’g’ri burchagidan BC tomonga AD mediana tushirilgan va B uchidan AD medianaga BN bissektrisa o’tkazilgan. Agar AB=8, AC=6 bo’lsa, AN ning uzunligini toping.
A) B) C) D)
14. a soni 7 dan katta tub son bo’lsa, ko’paytmaning nechta tub bo’lmagan musbat bo’luvchilari bor?
A) 44 B) 48 C) 8 D) 24
15.
A)
16. Tengsizlikni yching:


17.
Tenglamaning butun yechimlari nechta?
A) 2 B) butun yechimlari yo’q C) 4 D)1
18. f(x+10)=x∙f(x)+3 funksiyasi barcha x uchun aniqlangan bo‘lsa, f(20) ni toping.
A) 22 B) 33 C) 42 D) 63
19. va y=2-kx funksiyalarning grafiklari k ning nechta butun qiymatlarida kesishmaydi?
A) 3 B)2 C) cheksiz ko’p D)4
20. funksiyaning grafigiga nuqtada o’tkazilgan urinma va koordinata o’qlari bilan chegaralangan uchburchakning to’g’ri burchagidan tushirilgan balandligini toping.
A) 28 B) 14 C) D) 2
21. A B C uchburchakda B uchidan tushirilgan bissektrisa AC tomonni 3 va 4 ga teng kesmalarga ajratadi BC=6 AB tomonni toping.
A) 12 B) 18 C) 4 D) 8
22. parabola (2;3) vektor
yordamida parallel ko’chirishdan hosil bo’lgan kvadrat funksiyani yozing.
A) B)
C) D)
23. Tеng yonli uchburchakning yon tоmоni 5 gа uchidаgi burchakning kоsinusi gа tеng bo’lsa uning yon tоmоnigа o’tkаzilgаn bаlаndlikni аniqlаng.
А) 4,8 B) 4,2 C) 5 D) 4,4
24. ni sodalashtiring.
A) B)
C) D)
25. Tenglamani yeching.

A)4 B)2 C)1 D)0
26. tenglamaning ildizlari nechta?
A) 2 B) 1 C) 3 D) Ø
27. f(x)=x²–4x+3 bo'lsa, f ^–1(3)=? (x>2)
A) 2 B) 3 C) 4 D) –4
28. Ushbu

tengsizliklar sistemasini yeching.
A) B) C) D)
29. ABC uchburchakdа , gа pеrpеndikulyar vа . ning qiymаtini toping.
А) B) C) D)
30.
A) B) C) D)

TUZUVCHILAR : SHAXZOD BOLTAYEV ; AVAZBEK CHORIYEV