C 2 d e -2 Agar va bo’lsa, ning qiymatini hisoblang

1-variant
1. ni soddalashtiring.
A) B)tg28⁰ C)2 D) E)–2
2. Agar va bo’lsa, ning qiymatini hisoblang.
A)0,25 B)0,5 C)0,36 D)0,64 E)0,16
3. Agar bo’lsa, ni hisoblang.
A)0,5 B)1,5 C)3 D) E)–0,5
4. . sin150⁰ ning qiymati cos20⁰·cos40⁰·cos80⁰ ning qiymatidan qanchaga katta?
A) B) C) D) E)
5. ni soddalashtiring.
A) B) C) D)
E)
6. ni soddalashtiring.
A)cosα B)2sinα C)–cosα D)tgα E)–sinα
7. ni hisoblang.
A)1 B)2 C) D) E)3
8. sin20⁰·sin40⁰·sin80⁰ ni hisoblang.
A) B) C) D) E)
9. ni hisoblang.
A) B) C) D) E)
10. cos²5+cos²1–cos6∙cos4 ni hisoblang.
A)0 B) C) D)1,5 E)1
11. ni soddalashtiring.
A)sinα B)cosα C)sin2α D)cos2α E)1+sinα
12. Agar bo’lsa, cos2α ning qiymatini toping.
A) B) C) D) E)
13. ifodaning eng katta qiymatini aniqlang.
A)1 B) C)2 D) E)
14. bo`lsa ning qiymatini toping?
A) B) C) D)
15. Agar a bo`lsa ni hisoblang?
A)
16. bo`lsa, ni a orqali ifodalang?
A)
17. Ifodaning qiymatini tioing?
A)1 B)
18. quyidagilardan qaysi biriga teng?
A)
19. bo`lsa, quyidagi bog`lanishlardan qaysi biri o`rinli?
A)
B)
20. ctg37⁰∙ctg38⁰∙ctg39⁰∙…∙ctg52⁰∙ctg53⁰ ni hisoblang.
A)0 B)1 C)–1 D) E)2
21. Trapetsiyaning tomonlari orasida bog`lanish mavjud. Trapetsiyaning balandligi 3 ga,Perimetri 18 ga teng. Agar a va c tomonlar trapetsiyaning asoslari bo`lsa, trapetsiyaning yuzini toping?
A)12 B)15 C)24 D)21
22. Radiusi 6 ga teng aylanaga 5 ga teng vatarlar yordamida beshburchak ichki chizildi. Bu vatarlar hosil qilgan sektorlar yuzalari yig`indisini toping?
A)
23. Odam g`ildirakni aylantirib ketmoqda. U g`ildirakni 8 marta to`liq aylantirilganda manzilga yana 12 metr qoladi, 15 marta to`liq aylantirilganda esa manzildan 9 metr o`tib ketadi. G`ildirakning diametric necha metr? )
A)1.6 B)1 C)0.8 D)0.5
24. Trapetsiyaning kichik asosi 4 sm. O’rta chizig’i katta asosidan 4 sm qisqa. Trapetsiyaning o’rta chizig’ini toping.
A)6 B)10 C)8 D)9 E)12
25. Teng yonli trapetsiyaning asoslari 4,2 va 5,4 ga, kichik asosidagi burchagi esa 135⁰ ga teng. Trapetsiyaning yuzini hisoblang.
A)24,8 B)9,6 C)16,8 D)4,8 E)2,88
26. Qavariq yettiburchakning har bir uchidan bittadan olingan tashqi burchaklari yig’indisini toping.
A)5π B)7π C)2π D)3,5π E)4π
27. Radiusi 5 ga teng aylananing markazidan 4 ga teng masofada joylashgan nuqta orqali diametrga perpendikulyar vatar o’tkazilgan. Shu vatarning uzunligini toping.
A)8 B)6 C)7 D)9 E)4
28. Aylananing ga teng vatari 90⁰ li yoyni tortib turadi. Aylananing uzinligini toping.
A)24π B)20π C)22π D)26π E)28π
29. Uzunligi 10π ga teng bo’lgan aylana, radiusi 20 ga teng bo’lgan yoy shakliga keltirilgan. Hosil bo’lgan yoyning markaziy burchagini toping.
A)90⁰ B)60⁰ C)120⁰ D)75⁰ E)45⁰
30. Aylananing MN vatari 140⁰ li yoyni tortib turadi. MN vatar o’zi tortib turgan yoyning ixtiyoriy nuqtasidan qanday burchak ostida ko’rinadi?
A)270⁰ B)70⁰ C)100⁰ D)110⁰ E)120⁰
31. Aylananing diametriga perpendikulyar vatar o’tkazildi. Ularning kesishish nuqtasi diametrni uzunliklari 18 va 32 bo’lgan kesmalarga ajratadi. Vatarning uzunligini aniqlang.
A)24 B)48 C)36 D)28 E)40
32. Aylana tashqarisidagi P nuqtadan aylanaga PA urinma o’tkazilgan. P va aylananing O markazini tutashtiruvchi kesma aylanani B nuqtada kesib o’tadi. Agar PA=4, PB=2 bo’lsa, aylananing radiusini toping.
A)3 B)5 C) D) E)
33. Diametri 50 ga teng ikkita vodoprovod quvurini, suv o’tkazish qobiliyati shu ikki quvurnikiga teng bo’lgan bitta quvur bilan almashtirish kerak. Katta quvurning diametrini toping.
A) B)100 C) D)70 E)75
34. Radiusi ga, yoyining radian o’lchovi 2 ga teng bo’lgan sektorning yuzini hisoblang.
A)13 B)26 C)39 D)52 E)18
35. Markazi (1;1) nuqtada bo’lib, koordinatalar boshidan o’tuvchi aylananing tenglamasini tuzing.
A)x²+y²–2x–2y=1 B)x²+y²–x–2y=0 C)x²+y²–2x–y=0
D)x²+y²–3x–3y=0 E)x²+y²–2x–2y=0
36. Trapetsiyaning yuzasi 30 ga, balandligi 6 ga teng bo’lsa, uning o’rta chizig’i qanchaga teng bo’ladi?
A)2,5 B)5 C)7,5 D)4,5 E)6

2-variant

1. ni soddalashtiring.
A)2cos10⁰ B) C)2 D) E)cos46⁰
2. . Quyidagi tenglamalardan qaysi biri noto’g’ri?
A) B)
C) D)
E)
3. Agar bo’lsa, ni hisoblang.
A)–4 B)4 C) D) E)2
4. . log₂cos20⁰+log₂cos40⁰+log₂cos60⁰+log₂cos80⁰ ni hisoblang.
A)–4 B)–3 C) D)1 E)0
5. Agar va π<α+β<2π bo’lsa, α+β ning qiymatini toping.
A) B) C) D) E)
6. ni soddalashtiring.
A)tgα B)–tgα C)–2ctgα D)–2cosα E)sinα
7. ni hisoblang.
A)1 B)2 C)3 D)4 E)2,5
8. tg10⁰∙tg50⁰∙tg70⁰ ni hisoblang.
A) B) C)0 D)1 E)
9. ni hisoblang.
A) B) C) D) E)
10. ni soddalashtiring.
A) B) C) D) E)
11. ni soddalashtiring.
A)0,25 B)0,75 C)0,5 D)0,6 E)0,3
12. ctg35⁰–tg35⁰–2tg20⁰ ni hisoblang.
A) B)0 C)1 D) E)
13. cos⁶x+sin⁶x–sin²x∙cos²x ni soddalashtiring.
A)sin²2x B)sin4x C)cos4x D)cos²4x E)cos²2x
14. Agar α=–45⁰ va β=15⁰ bo’lsa, cos(α+β)+2sinαsinβ ning qiymatini toping.
A) B) C) D) E)
15. bo`lsa quyidagilardan qaysi biriga teng?
A)9/25 B)175/256 C)256/625 D)81/256
16. Soddalashtiring?
A)
17. bo`lsa ,

A)
18. bo`lsa
A)5/18 B)-5/18 C)-2/3 D)2/3
19. bo`lsa ni a orqali ifodalang?
A) D)
20. Soddalashtiring

A)
21. Trapetsiyaning yon tomonlari 13 va 15 ga, asoslari esa 6 va 20 ga teng. Shu trapetsiyaning yuzini toping.
A)117 B)208 C)195 D)156
22. tenglama bilan berilgan aylana y o`qini A va B nuqtalarda kesadi.
A va B o`rtasidan o`tuvchi o`tuvchi gorizontal to`gri chiziq tenglamasi?
A)y=x-5 B)y=5 C)y=3.5 D)y=x+3.5
23. Tomoni 8 ga teng muztazam ABCDEFGH sakkizburchakning kichik diagonallari hosil qilgan ACEG to`rtburchak yuzasini toping?
A)64+128 B)64
C)128+ D)64+64
24. Tomonlari 72 va 8 sm bo’lgan to’g’ri to’rtburchakka tengdosh kvadratning tomonini toping.
A)36 B)28 C)24 D)18 E)26
25. Teng yonli trapetsiyaning asoslari 16 va 8 ga, o’tmas burchagi 150⁰ ga teng. Shu trapetsiyaning yuzini hisoblang.
A) B) C) D) E)34
26. Har bir ichki burchagi 135⁰ dan bo’lgan muntazam ko’pburchakning nechta tomoni bor?
A)8 B)7 C)6 D)10 E)9
27. Aylana diametrining uchlaridan aylanaga o’tkazilgan urinmagacha bo’lgan masofalar 1,6 va 0,6 ga teng. Diametrning uzunligini toping.
A)2,2 B)1,8 C)2 D)2,4 E)1,9
28. Aylananing A nuqtasidan o’tkazilgan AB va AC vatarlarning uzunliklari mos ravishda 5 va 12 ga teng. Agar ularning ikkinchi uchlari tutashtirilsa, yuzi 15 ga teng uchburchak hosil bo’ladi. AB va AC vatarlar orasidagi o’tkir burchakni toping.
A)30⁰ B)15⁰ C)45⁰ D)60⁰ E)20⁰
29. Radiusi 32 ga teng bo’lgan aylananing radianga teng yoyining uzunligini aniqlang.
A)0,5π B)π C)2π D)4π E)6π
30. Markaziy burchakka mos yoy aylananing qismiga teng. Shu markaziy burchakni toping.
A)72⁰ B)144⁰ C)15⁰ D)216⁰ E)36⁰
31. Radiusi 6 ga teng bo’lgan aylanadagi nuqtadan uning diametriga tushirilgan perpendikulyar diametrni 1:3 nisbatta bo’ladi. Perpendikulyar uzunligini toping.
A) B) C)4 D)3,6 E)4,2
32. Aylanadan tashqaridagi P nuqtadan aylanaga PM urinma o’tkazildi. Agar PM=16 va aylananing radiusi 12 ga teng bo’lsa, P nuqtadan aylanagacha bo’lgan eng qisqa masofani toping.
A)6 B)9 C)8 D)10 E)7
33. Yuzi 6,25π bo’lgan doira aylanasining uzunligini aniqlang.
A)5π B)2,25π C)2,5π D)5,25π E)5,5π
34. Doiraning radiusi r ga teng. 90⁰ li yoyga mos keladigan segmentning yuzini toping.
A) B) C) D) E)
35. Barcha nuqtalarning koordinatalari x²+y²≤4x+6y tengsizlikni qanoatlantiradigan tekis figuraning yuzini toping.
A)13π B)12π C)9π D)10π E)18π
36. Aylana tashqarisidagi P nuqtadan aylanaga PA urinma o’tkazilgan. P va aylananing O markazini tutashtiruvchi kesma aylanani B nuqtada kesib o’tadi. Agar PA=4, PB=2 bo’lsa, aylananing radiusini toping.
A)3 B)5 C) D) E)