=0 tenglama nechta yechimga ega? A b c 2

Matematika
1. πCosx–2x+π=0 tenglama nechta yechimga ega?
A) 0 B) 3 C) 2
D) 4 E) 1

2. To’g’ri burchakli uchburchakning o’tkir burchaklaridan tushirilgan balandliklari 14 va 15 ga teng bo’lsa, uchburchak yuzini toping.

A) 100 B) 102 C) 105
D) 51 E) 52,5

3. y=|2x+1|–|2x–2| ifodani eng kichik qiymatini toping.

A) –4 B) –3 C) 3
D) 4 E) 2

4. Tetraedrning qirrasi 1 ga teng bo’lib, asosiga tashqi chizilgan aylana markazidan yon yog’iga parallel tekislik bilan kesilsa, shu kesim yuzini toping.

5. Tenglamasi x²+y²–14x–4y+40=0 bo’lgan aylana x o’qini A va B nuqtalarda kesadi. AB kesmaning uzunligini toping.

A) 10 B) 8 C) 6
D) 5 E) 4

6. Tengsizlikni yeching.

|x–2|+|x+3|>0
A) R B) R /{2, –3}
C) (–3; 2) D) (–2; 3)
E) (2; ∞)

7. Kubning tomonlari 50 % kamaytirilsa, xajmi necha foiz kamayadi?

A) 50 B) 62,5 C) 67,5
D) 82,5 E) 87,5

8.

Yuqoridagi chizmada ax²+bx+c=0 parabola grafigi ko’rsatilgan. b+c=?
A) 1 B) 2 C) 3
D) 4 E) 5



A) ln2 B) 2 C) ln10
D) ln3 E) to’g’ri javob yo’q

10. Quyidagi fikrlardan qaysilari noto’g’ri?

1. To’g’ri to’rtburchakning ixtiyoriy bir nuqtasiga o’tkazilgan o’rta perpendikulyar shu to’rtburchaklarni teng to’rtburchaklarga bo’ladi va to’rtburchaklar uchun simmetriya markazi bo’lib xizmat qiladi
2. Burchak tomonlarini kesgan parallel to’g’ri chiziqlar ularda proporsional kesmalar ajratadi
3. Uchburchakning tomonlari o’z qarshilaridagi burchak kosinuslariga proporsional
4. Fazoda bir to’g’ri chiziqda yotmagan uch nuqta orqali bir nechta tekislik o’tkazish mumkin
5.  va  tekislik umumiy nuqtaga ega bo’lmasa, shu tekisliklar o’zaro parallel deyiladi.
A) 1, 2, 3 B) 3, 4, 5
C) 3, 4 D) 4, 5
E) 1, 3, 4



A) 1 B) 2 C) 3
D) 4 E) 0



A) 64; 27 B) 27 C) 8
D) 1; 27 E) 8; 125

13. Quyidagi funksiyaning aniqlanish sohasini toping.

A) R B) Ø
C) [5; ∞) D) [5,5; ∞)
E) [5,5; 8]

14. Sin2x+Ctgx=2 tenglamani yeching

E) Ø


bo’lgan va koordinata boshidan o’tgan aylana tenglamasini ko’rsating.
A) (x+2)²+(y–1)²=4
B) (x+2)²+(y+3)²=9
C) x²+(y+3)²=9
D) (x–3)²+y²=3
E) (x–1)²+(y+3)²=16

16. Ichki burchagi 160^o bo’lgan muntazam ko’pburchakning ma’lum bir uchidan nechta diagonal o’tkazish mumkin?

A) 22 B) 19 C) 18
D) 16 E) 15



A) 2e B) 2e² С) 3e
D) 3e² E) e²–1

18. Juft funksiyani ko’rsating.

19. c=–log₂25, bo’lsa c ning butun qismini toping.

A) –4 B) –5 C) –6
D) –7 E) 4

20. 4x²–9x+a=0 tenglamaning ildizlari ko’paytmasi eng katta bo’lishi uchun a qanday bo’lishi kerak?

21. Ota va ona yoshlari yig’indisi uchta bolasi yoshlari yig’indisidan 2 barobaridan 8 yosh kichik. 10 yil avval ota ona yoshlari yig’indisi bolalalarining yoshlari yig’indisidan 4 marta katta bo’lgan ota va ona yoshlari yig’indisini toping.

A) 74 B) 46 C) 54
D) 72 E) 84

22. Tadbirkor qarzini dastlab 2/7 qismini, keyinroq qolganini 3/5 qismini; oxiri 400 ming dollar to’ladi. Tadbirkor ikkinchi safar necha ming dollar to’lagan?

A) 200 B) 300 C) 400
D) 600 E) 800

23. a<b<0 bo’lsa, |b–a|–|a+b|=?

A) –2a B) –2b C) 0
D) 2a E) 2b

24. (2y–3z)³+(x–2y)³–(x–3z)³

Ko’pxadni ko’paytuvchilarga ajrating.
A) 3(2y–3z)(2y–x)(x–3z)
B) –6(x–3z)(x–2y)(2y–3z)
C) to’g’ri javob berilmagan
D) ko’paytuvchilarga ajralmaydi
E) 3(2y–x)(2y–3z)(3z–x)

25. Uchburchakning ikki burchagi yig’indisi 70^o ga teng. Shu burchaklarning bissektrissalari kesishishidan hosil bo’lgan burchaklardan kichigini toping.

A) 40 B) 25 C) 50
D) 35 E) 45


yechimlari yig’indisini toping.
A) –3 B) 3 C) –4
D) 4 E) –5

27. To’g’ri burchakli ABC uchburchakning katetlari 8 va 10 ga teng. Shu uchburchakning C to’g’ri burchagi uchidan CE mediana va CD bissektrissa o’tkazilgan. CDE uchburchakning yuzini toping.

Tenglamani qanoatlantiruvchi birorta ham xaqiqiy son mavjud bo’lmasa, a=?

29. f ‘(x)=3x²–2x+1 va f(2)=10 bo’lsa, f(0)=?

A) 0 B) 1 C) 2
D) 3 E) 4

31. ABCD parallelogram C uchi koordinatalari (5; 8). O(4; 5) esa parallelogram diagonllarining kesishish nuqtasi. Parallelogram A uchining koordinatalarini toping.

A) (4; 1) B) (1; 4)
C) (3; 2) D) (2; 3)
E) (3; 1)

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

33. O’zidan oldin kelgan barcha toq natural sonlar yig’indisining 1/6 qismiga teng bo’lgan sonni toping.

A) 18 B) 30 C) 24
D) 36 E) 48

34. Tengsizlikni yeching.

Cos(πSinx)>0

35. Teng yonli trapesiyaning yon tomoni 5 ga, balandligi 4 ga va asosi 9 ga teng. Uning o’rta chizig’ini toping.

A) 2 B) 3 C) 5
D) 4 E) 6

36. x(x+a)(x+b)(x+a+b)+m² ifoda m ning qanday qiymatida to’la kavadrat bo’ladi?