03 – 16 oktober Matematika

03 – 16 oktober
Matematika
1.
A) 1 B) 2 C) 3

2. Katetlari 12 va 16 cm bo’lgan to’g’ri burchakli uchburchakning uchlaridan bir xil 16 cm uzoqlikda joylashgan nuqta uchburchak tekisligidan qanday masofada yotadi.

A) 16 B) 24 C) 20





4. x²+y²–2ax–2by+a²+b²–4=0 o’rinli bo’lsa, hamda grafigi OX va OY o’qlariga urinsa, a va b ning qiymatini toping.
A) (2; 3) B) (3; 4) C) (2; 2)
D) (4; 4) E) aniqlab bo’lmaydi

5 Koordinata boshidan x+y=6 chiziqqacha bo’lgan masofani toping.

E) aniqlab bo’lmaydi.

7. Tenglamani yeching.

8. у=х³–3х²+3х+2 egri chiziqning ekstremum nuqtasini toping.

А) –6 В) –1 С) 0
D) 2 Е) ekstrimum nuqtasi mavjud emas

9. Tenglamaning yechimlari yig’indisini toping.

E) 1



A) –4 B) –5 C) 4
D) 5 E) 1

11. Sin(πx)>0 uchun quyidagilardan qaysi biri to’g’ri?

E) Ø

12.Soddalashtiring

13. lg(x+1)<1 ni natural sonlardan iborat yechimlari nechta?

A) 1 B) 2 C) 8
D) 9 E) 7

14. y=|x–3| funksiyaning y=1 dan katta bo’lmagan qismini qanoatlantiruvchi yechimini toping.

A) (2; 2) B) (2; 4) C) [2; 4]
D) 0 E) aniqlab bo’lmaydi



A) x B) x+1 C) x–1

16. Rombning o’tkir burchagi 45°, balandligi ga teng bo’lsa, rombning yuzini toping.

17. 9a²+12ab+4b²=289, a/b=5, a>0, b=?

A) 1 B) 2 C) –1
D) –2 E) 3

18. Agar 12<x≤ 36, 2≤y<3 bo’lsa, x/y qaysi son oralig’ida bo’ladi?

A) 2<x/y≤4 B) 3<x/y≤12
C) 4< x/y <6 D) 4<x/y≤18
E) 3<x/y≤18


qiymatini toping?
A) 4 B) 3 C) 4
D) 6 E) 7

20. Cos(πx)=0 n Є N, [0;3π] da nechta ildizga ega?

A) 1 B) 5 C) 10
D) Ø E) 11

21. Cheksiz kamayuvchi geometrik progressiyada b₃=1 va 6q²-37q+6=0 bo’lsa, S ni toping

A) 43,2 B) 44 C) 45,2
D) 23,2 E) to’g’ri javob berilmagan

22. Ko’pburchakning diagonallari 54 ta bo’lsa, tomonlari sonini toping.

A) 11 B) 12 C) 13
D) 14 E) to’g’ri javob berilmagan

A) 1 B) 2 C) 3
D) 0,5 E) to’g’ri javob berilmagan

24. y=x²–2x+b+1 parabola absisalar o’qiga urinsa, b ni toping.

A) 2 B) 1 C) 0
D) aniqlab bo’lmaydi E) 4



A) 2 B) 4 C) 6
D) 7 E) 3

26. a=Sin1, b=Cos2 c=Cos3 bo’lsa quyidagilardan qaysi biri o’rinli?

A) a=b=c B) a<b<c
C) b<c<a D) c<b<a
E) b<c<a
27. Arifmetik progressiyada a₈+a₁₄+a₂₀+a₂₆=200 bo’lsa, S₃₃=?
A) 1550 B) 1650 C) 1450
D) 1300 E) to’g’ri javob berilmagan



A) 2 B) –2 C) 3
D) 4 E) 1

A) ±1 B) ±3 C) ±2
D) ±2va ±3 E) to’g’ri javob berilmagan

30. 40% i 10 ga teng son lgx=2 tenglama yechimini necha foizini tashkil etadi?

A) 15 B) 20 C) 25
D) 30 E) 50

31. y=x²+3x+4 funksiya grafigiga absisasi x=–2 nuqtada o’tkazilgan urinma OX o’qining musbat yonalishi bilan qanday burchak hosil qiladi.

A)–arctg2 B) 70 C) 45
D) 135 E) 50

32. y=(2x+1)² egri chiziqqa o’tkazilgan urinmasi y=2x+0,5 to’g’ri chiziqqa parallel bo’lgan nuqtadan kordinata boshigacha bo’lgan masofani aniqlang.

33 y=12x–x³ funksiyaning [–1; 3] kesmadagi eng katta va eng kichik qiymatlari ayirmasini aniqlang.

A) 32 B) 5 C) 15
D) 27 E) 7

34. Avtobusdagi ayollar sonining barcha yo’lavchilar soniga nisbati 3/10. Avtobusga 5 erkak va 5 ayol chiqqandan so’ng barcha yo’lovchilarning soni 40 ta bo’ldi.. Dastlab erkaklar soni qancha edi.

А) 17 В) 18 С) 21
D) 24 Е) 27

А) 1 В) 2 С) 3
D) 4 Е) 5

36. 780 soninig natural bo’luvchilari soni va yig’indisini toping.

A) 24 va 2332 B) 32 va 3252
C) 24 va 2352 D) 12 va 120
E) to’gri javob berilmagan.