Test-2019 1-Variant
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2019 yil 30 ta lik variant
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- GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI
- 5 – Variant.
4 – Variant. 1. a va b ratsional sonlar uchun 𝑎 + √3
𝑏 = 5 tenglik o’rinli bo’lsa, 𝑎 2
2 ning qiymatini hisoblang. A) 25 B) 17 C) 21 D) 15
2. 𝑦 = 𝑙𝑛(5𝑥 + 1) 2 − ln(2𝑥 + 1) 5 + 4
funksiyaga (𝑥 0 ; 𝑦
0 ) nuqtasidan o’tkazilgan urinma abscissa o’qiga parallel bo’lsa, √𝑥 0 2
0 2
ning qiymatini toping.
A) 7 B) 4 B) 5 C) 3
3. [1;200] oraliqda 6 ga bo’linib, 4 ga bo’linmaydigan natural sonlar nechta? A)17 B) 16 C) 33 D) 22 4. Markazi (0;0) nuqtada bo’lgan aylanadagi A(0;2) nuqtani soat yo’nalishiga teskari yo’nalishda 45° ga burganda hosil bo’lgan nuqtaning koordinatalari yig’indisini toping. A) 2√2 B) 0 C) 1 + √2 D) −2√2
5. Aniqmas integralni hisoblang: ∫ (𝑥−2)𝑑𝑥
𝑥 2 −4𝑥+17 A) ln(𝑥
2 − 4𝑥 + 13) + 𝐶
B)
1 2 ln(𝑥 2 − 4𝑥 + 13) + 𝐶
C) ln(𝑥
2 − 4𝑥 + 17) + 𝐶
D)
1 2 ln(𝑥 2 − 4𝑥 + 17) + 𝐶
2𝑥+1
𝑥+6 ≤ 1
A) [-6;-0,5] B) (−∞; 5] C) (−6; 5] D) (−0,5; 5]
7. Tenglamalar sistemasini yeching: { 5𝑥 + 2𝑦 = −15 4𝑥 − 3𝑦 = 11 A) (1;5) B) (-1;5) C) (1;-5) D) (-1;-5)
8. Hisoblang: sin (2 arcsin 3 5 ) A) 1 B) 0,96 C) 1,2 D) 0,72 GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 9. To’g’ri burchakli parallelepipedning qirralari 1:4:3 kabi nisbatda. Uning to’la sirti 152 𝑑𝑚 2 bo’lsa, hajmini toping. A) 97 B) 91 C) 96 D) 102
10. Hisoblang: 𝑙𝑜𝑔 2 7 𝑙𝑜𝑔 56 2 − 𝑙𝑜𝑔
2 14 𝑙𝑜𝑔 28 2
A) 2 B) 1 C) -1 D) -2 11. Soatning soat mili 22° ga burilsa, minut mili necha gradusga buriladi? A) 264° B) 228° C) 246° D) 256°
12. 1 kg mis 12 000 so’m, 1 kg qo’rg’oshin 18 000 so’m. Mis va qo’rg’oshindan mos ravishda 4:1 kabi nisbatda quyilgan 1 kg li quymaning narxi qancha? A) 13 200 B) 16 800 C) 14 100 D) 15 700
13. Hisoblang: ∫ (𝑥 − 5) 4 ∙ 𝑥𝑑𝑥
6 5
A) 4 3 B) 8 7 C) 7 6 D) 10 9
14. 𝑓(𝑥) = cos(sin 2𝑥 − 3) funksiyaning 𝑥 = 0 nuqtadagi hosilasini toping. A) sin 3 B) 2 cos 3 C)2 sin 3 D) cos 3 15. Agar 𝑎 = √3 − 1 bo’lsa,
𝑎 2 +3𝑎
𝑎−4 ∙ √𝑎 2 −8𝑎+16
√𝑎 2 +6𝑎+9 + 2𝑎 ni hisoblang. A) √3 − 1 B) 3√3 − 3 C) √3 − 3 D) 3√3 16. 𝑓(𝑥) = 2 + 𝑙𝑜𝑔 3 𝑥 3 bo’lsa,
𝑓(9)
2 = 𝑓(𝑥) + 𝑓 ( 1 𝑥
tenglamani yeching. A) ∅ B) 3 4 3
4 3 )
17. Ifodani soddalashtiring: 𝑥−0,(3) 𝑥 2 3 + √0,(3)𝑥 3 + √0,(1)
3
A) √𝑥 3 + √0, (3) 3 B) √𝑥 3 − √0, (3) 3
3 + √0, (1) 3 D) √𝑥 3 − √0, (1) 3
18. ∫ 𝑥𝑐𝑜𝑠𝑥𝑑𝑥 aniqmas integralni hisoblang. A) 𝑥𝑠𝑖𝑛𝑥 + 𝑠𝑖𝑛𝑥 + 𝐶 B) 𝑥𝑠𝑖𝑛𝑥 − 𝑐𝑜𝑠𝑥 + 𝐶 C) 𝑥𝑠𝑖𝑛𝑥 + 𝑐𝑜𝑠𝑥 + 𝐶 D) 𝑥𝑐𝑜𝑠𝑥 + 𝑠𝑖𝑛𝑥 + 𝐶 19. Hisoblang: (1 −
1 2 2 ) ∙ (2 − 2 3 2 ) ∙ (3 −
3 4 2 ) ∙ … ∙ (8 − 8 9 2 )
A) 8! 9 B) 5∙8!
9 C) 5∙8! 81
8! 81
20.
27 13 + 77 19 − 93 23 son qaysi oraliqqa tegishli? A) (1;2) B) (0;1) C) (2;3) D) (3;4) 21. 𝐴 = {(𝑥; 𝑦)| 𝑥 2 + 𝑦 2 = 4; 𝑥, 𝑦 ∈ 𝑅}
𝐵 = {(𝑥; 𝑦)| 𝑥 − 𝑦 = 2; 𝑥, 𝑦 ∈ 𝑅} bo’lsa, 𝐴 ∩ 𝐵 =? A) (0;-2) , (-2;0) B) (0;2) ; (-2;0) C) (0;-2) ; (2;0) D) (0;2) ; (2;0)
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 22. 𝑦 = 𝑥 2 − 8𝑥 + 4
funksiyaning (0;0) nuqtaga nisbatan simmetrik ko’chirishdan hosil bo’lgan funksiyani toping.
A) 𝑦 = 𝑥 2 + 8𝑥 + 4 B) 𝑦 = −𝑥 2 + 8𝑥 + 4
C) 𝑦 = −𝑥 2 − 8𝑥 + 4
D) 𝑦 = −𝑥 2 − 8𝑥 − 4
23. (3 − (4 − (5 − (7 − (8 + (−1 + (3 − 8) + +6) − 2) + 8) − 13) + 4) − 8) qavsli ifodani hisoblang. A) 25 B) -25 C) 30 D) -30
24. Silindrning o’q kesimining dioganali 15 ga, balandligi 12ga teng bo’lsa, asos radiusini toping. A) 6 B) 4,5 C) 3√2 D) 9
25. ABCD to’g’ri to’rtburchak A burchagining bisektrissasi BC tomonni P nuqtada kesib o’tadi. Agar BP=6 va PC=7,5 bo’lsa, to’g’ri to’rtburchak yuzini toping.
A)27 B) 54 C) 72 D) 81
26. To’g’ri burchakli trapetsiyaning dioganali uning yon tomoniga teng. Uning balandligi 6 ga, katta yon tomoni 12 ga teng bo’lsa, uning o’rta chizig’ini toping.
A) 9 B) 15 C) 9√3 C) 12 27. Parallelogrammning o’tmas burchagi 150°
ga, tomonlari 10 va 14 ga va burchaklari bisektrissalari kesishishidan hosil bo’lgan to’g’ri to’rtburchakning yuzini toping. A) 4 B) 6 C) 8 D) 10
28. ABC uchburchakda BD bisektrissa va AB=7; BC=9 bo’lsa, DC:AC=? A)
7 16 B) 9 16 C) 16 7 D) 16 9
29. Muntazam tetraedrning qirrasi 3 ga teng. Uning asosiga tashqi chizilgan aylana markazidan yon qirrasigacha bo’lgan masofani toping. A) 3 B) √3 C) √2 D) 2
30. To’g’ri burchakli uchburchakning o’tkir burchagi 30° ga teng. Shu burchakka yopishgan katet 4 ga teng bo’lsa, katta medianani toping. A)
2√21 3 B) 2√39 3
С) 4√3
3 D) 2 3
5 – Variant. 1. Markazi (0;0) nuqtada bo’lgan aylanadagi A(0;2) nuqtani soat yo’nalishida 30° ga burganda hosil bo’lgan nuqtaning koordinatalari yig’indisini toping. A) −1 − √3 B) −1 + √3 C) 1 + √3 D) 1 − √3
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 2. Hisoblang: arctg (tg 6𝜋 7
A) −
𝜋 7 B) 3𝜋 7 C) 5𝜋 7 D) 6𝜋 7
3. Qutida N,A,M,O,T harflari bor. Tavakkaliga olingan 3 ta harfni ketma- ket qoyilgan “ONA” so’zi hosil bo’lish ehtimolini toping. A) 0,1 B) 1 30 C) 1 15 D) 1 60
4. ∫ sin 𝑥 ∙ 𝑐𝑜𝑠 8 𝑥 𝑑𝑥 integralni hisoblang. A)
𝑠𝑖𝑛 9 𝑥 9 + 𝐶
B) − 𝑐𝑜𝑠
9 𝑥 9 + 𝐶
C) − 𝑠𝑖𝑛 9 𝑥 9 + 𝐶
D) 𝑐𝑜𝑠
9 𝑥 9 + 𝐶
5. Dastlabki n ta hadining yig’indisi 𝑆 𝑛 = 𝑛 2 − 3𝑛 formula bilan aniqlanadigan arifmetik progressiyaning ayirmasini toping. A) – 2 B) 0 C) 2 D) 3
6. Hisoblang: 3 √12−3
− 3 √3 − √3
A) 3 B) 6 C) √12 D) −4√3 7. Tenglama ildizining chorak qismini hisoblang: 120: (24: (18: (12: (6: (𝑥 + 1))))) = 15
A) 0,5 B) 0,25 C) 1 D) 2 8. Agar 𝑥 = lg 2 ; 𝑦 = lg 3 bo’lsa, lg(0,96) ni 𝑥, 𝑦 orqali ifodalang. A) 5𝑥 + 𝑦 + 2 B) 5𝑥 + 𝑦 − 2 C) 𝑥 + 5𝑦 + 2 D) 𝑥 + 5𝑦 − 2
9. Tekisilikda ikki parallel to’g’ri chiziqlar berilgan. Ularning birida 2 ta va ikkinchisida 4 ta nuqta olingan. Uchi shu nuqtalarda bo’lgan jami nechta to’rtburchak mavjud? A) 12 B) 8 C) 6 D) 16 10. Soatning soat mili 18 minutda necha gradusga buriladi? A) 36 B) 18 C) 90 D) 9
11. Hisoblang: 1 − 1 1− 1 1− 1 6 A) 1
1 5 B) −1 1 5 C) – 6 D) 6 12. Turli raqamlardan tashkil topgan olti xonali 𝑎𝑏𝑐𝑑𝑒𝑓 ̅̅̅̅̅̅̅̅̅̅ soni 6 ga qoldiqsiz bo’linsa, 𝑎+𝑏+𝑐+𝑑+𝑒+𝑓 𝑓 ifodaning eng katta qiymatini toping. A) 15 C) 16,5 C) 18 D) 36
13. ABCD to’rtburchak aylanaga ichki chizilgan. Agar ∠𝐴𝐵𝐶 = 66°; ∠𝐶𝐴𝐷 = 41° bo’lsa, ∠𝐷𝐵𝐴 necha gradus?
A) 107° B) 25° C) 66° D) 41°
14. 𝑦 = 3𝑥 2 + 2𝑥 − 1
funksiya boshlang’ichining [0;2] kesmadagi eng kichik qiymati 2 ga teng bo’lsa, shu funksiyaning [0;2] kesmadagi eng katta qiymatini toping. A) 2
5 27 B) 1 5 27 C) 12 5 27 D) 14 5 27
15. Ikkita qo’shni burchaklar ayirmasi 26° ga teng bo’lsa, burchaklardan kattasini toping. A) 77° B) 113° C) 103° D) 87°
16.
Tengsizlikni yeching: ( 3 2
3𝑥 > (
16 81 ) 1− 𝑥2 4 A) (−∞; −1) ∪ (4; ∞) B) [−1; 4) C) (−1; 4) D) (−∞; −1)
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 17. Tekislikka og’ma va perpendekulyar tushirilgan. Og’ma va perpendekulyar orasidagi burchak 15° ga teng. Perpendekulyar uzunligi 10 + 5√3 ga teng bo’lsa, og’maning tekislikdagi proyeksiyasi uzunligini toping. A) 10 B) 5 C) 5√3 D) 15
18. 4 ∙ 36 69 − 9
sonining oxirgi raqamini toping.
A) 3 B) 5 C) 7 D) 9
19. Teng yonli trapetsiyaning diogonali o’tkir burchagining bisektrissasi va katta asosi 25 ga, perimetri 55 ga teng bo’lsa, o’rta chizig’ini toping. A) 16 B) 16,5 C) 17 D) 17,5
20. 𝑦 = 3𝑥 2 + 2𝑥 − 1
funksiya boshlang’ichining [0;2] kesmadagi eng kichik qiymati 2 ga teng bo’lsa, shu funksiyaning [0;2] kesmadagi eng katta qiymatini toping. A) 2
5 27 B) 1 5 27 C) 12 5 27 D) 14 5 27
21. ∫ [𝑥] [𝑥] 𝑑𝑥
1 aniq integralni hisoblang. A) 1 B) 4 C) 27 D) 32
22. 𝑓(𝑥) = 𝑥 ∙ cos 𝑥 2 bo’lsa, 𝑓′(0) ni toping. A) – 1 B) 0 C) 1 D) 2
23. 𝐵 ⊂ 𝐴(𝐵 ≠ 𝐴, 𝐵 ≠ ∅) bo’ladigan A to’plamning elementlari soni mos ravishda n va barcha bo’lishi mumkin bo’lgan B to’plamlar sini m ga teng. 𝑛 + 3𝑚 = 21 tenglik o’rinli bo’lsa, A to’plamning elementlari sonini toping. A) 2 B) 3 C) 4 D) 5
24. 6𝑥 2 + (2𝑎𝑏 − 3𝑏)𝑥 = 𝑎𝑏 2
A) 𝑎𝑏 3 ; − 𝑏 2 B) 𝑎𝑏 6 ; −𝑏
C) − 𝑎𝑏 3 ; 𝑏 2 D) 𝑎𝑏 2 ; − 𝑏 3
25. Hisoblang: sin 96° 16 sin 6° − cos 6° ∙ cos 12 ° ∙ cos 24 ° ∙ cos 48 °
A) 16 B) 1 8 C) 0 D) 1 26. Uchlari A(3;0) va B(0;2) nuqtalarda bo’lgan AB kesmaning A uchidan boshlab 4:3 kabi nisbatda bo’luvchi nuqtaning koordinatalarini toping. A) ( 10
; 9 7 ) B) ( 11 7
10 7 ) C) (
9 7 ; 8 7 ) D) ( 8 7 ; 1)
27. 𝑎⃗(𝑥; −2) va 𝑏⃗⃗(−7; 𝑦) vektorlar kollenear vektorlar bo’lsa, u holda − 21
𝑥 2 − 3𝑥𝑦 + 49 ifodaning qiymatini toping.
A) 14 B) 21 C) 35 D) 49
28. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar EFP uchburchak yuzi 7,5 ga teng bo’lsa, ABC uchburchakning yuzini hisoblang. A) 60 B) 75 C) 90 D) 45
29. 2 ∙ 7 ∙ 11 ∙ 13 ∙ 19 ∙ 23 sonni quyidagilardan qaysi biriga ko’paytirganimizda berilgan sonning natural bo’luvchilari yig’indisi 2 marta ortadi?
A) 25 B) 9 C) 12 D) 17
30. 520 sonini 20% ga oshirib, so’ng natijaning 25% ini toping. A) 150 B) 170 C) 176 D) 156
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly
1. 𝑦 = 𝑥
2 − 5𝑥 + 3
funksiyani ordinata o’qiga nisbatan simmetrik ko’chirishdan hosil bo’lgan funksiyani toping. A) 𝑦 = 𝑥
2 + 5𝑥 + 3
B) 𝑦 = 𝑥
2 + 5𝑥 − 3
C) 𝑦 = −𝑥 2 − 5𝑥 + 3
D) 𝑦 = −𝑥 2 − 5𝑥 − 3
2. ABC uchburchakning AB va BC tomonlari 6 av 8 ga teng va B burchak bisektrissasi AC yomonni D nuqtada kesib o’tadi. 𝐴𝐶 𝐷𝐶 ni toping. A)
4 3 B) 3 4 C) 7 3 D) 7 4
3. Merganning bitta otgan o’qining nishonga tegishi ehtimoli 0,6 ga teng bo’lsa, otilgan ikkita o’qning ikkitasi ham nishonga tegishi ehtimolini toping. A ) 0,6 B) 0,36 C) 0,24 D) 0,48
4. Arifmetik progressiyaning yettinchi va uchinchi hadlarining ayirmasi -32 ga, dastlabki to’rtta hadining yig’indisi 244 ga teng bo’lsa nechinchi hadi 17 ga teng? A) 6 B) 7 C) 8 D) 9
5. [1;200] oraliqda 9 ga bo’linib, 6 ga bo’linmaydigan natural sonlar nechta? A) 9 B) 11 C) 18 D) 22 6. (2;0) va (0;3) nuqtalardan o’tuvchi to’g’ri chiziqning burchak kaefitsiyentini toping? A) 1,5 B) -1,5 C) 0,(6) D) -0,(6)
7. Aniqmas integralni hisoblang: ∫ 𝑎𝑟𝑐𝑠𝑖𝑛
5 (2𝑥)𝑑𝑥
√1−4𝑥 2
A) 𝑎𝑟𝑐𝑠𝑖𝑛
6 (2𝑥)
6 + 𝐶
B) 𝑎𝑟𝑐𝑠𝑖𝑛
6 (2𝑥)
12 + 𝐶
C)
𝑎𝑟𝑐𝑠𝑖𝑛 6 (𝑥) 6 + 𝐶
D) − 𝑎𝑟𝑐𝑠𝑖𝑛
6 (𝑥)
12 + 𝐶
8. .
27 2𝑥 2 + 98𝑥
2 27 ifodaning eng kichik qiymatini toping. A) 49 B) 7 C) 14 D) 27
9. a va b ratsional sonlar uchun 𝑎 + √3 3 𝑏 = 7 tenglik o’rinli bo’lsa, 𝑎 2
2 ning qiymatini hisoblang. A) 49 B) 12 C) 16 D) 8
10. a sonning 70 foizi 60 ning 7 12 qismini tashkil etsa, a ning yarimi 20 dan qancha ko’p?
A) 25 B) 20 C) 15 D) 5
11. Tengsizlikning butun yechimlarining yig’indisini toping.
𝑥+2 √3𝑥+20−2𝑥 2 > 0
A) 5 B) 4 C) 2 D) 9
12. Agar 𝑎 + 𝑏 + 𝑐 = 3; 𝑎𝑏 + 𝑏𝑐 + 𝑎𝑐 = 2 bo’lsa, 𝑎 3 + 𝑏 3 + 𝑐
3 − 3𝑎𝑏𝑐
ni toping. A) 25 B) 21 C) 11 D) 9
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 13. Tenglamani yeching: |𝑥 2
2 + 9𝑥 − 20
A) -10 B) 1 C) -10; 1 D) ∅ 14. Hisoblang: 2,6 ∙ 7,7 + 2,6 ∙ 3,8 + 2,4 ∙ 16,2 − 4,7 ∙ 2,4 A) 57 B) 57,5 C) 58 D) 58,5
15. Tenglamani yeching: 𝑠𝑖𝑛4𝑥 = 𝑠𝑖𝑛3𝑥
A) 2𝜋𝑘; 𝜋 7 + 2𝜋𝑘 7 B) 𝜋𝑘; 𝜋 7 + 2𝜋𝑘 7
C) 2𝜋𝑘;
𝜋 7 + 𝜋𝑘 7 D) 𝜋 + 2𝜋𝑘; 𝜋 7 + 2𝜋𝑘 7
16. Hisoblang: sin 𝜋
+ sin 17𝜋
21 − sin
11𝜋 21 + 1 A) 1 B) 2 C) 0 D) -1
17. 𝑘(𝑘 + 1)𝑥 = 𝑘 + 4(3𝑥 + 1) k ning qanday qiymatida tenglama cheksiz ko’p yechimga ega? A) 3 B) -4 C) 3 va -4 D) -1
18. 𝑃(𝑥 + 3) = 𝑄(𝑥) + 𝑥 + 5 va 𝑃(𝑥 − 2) ni x-6 ga bo’lgandagi qoldiq 2 ga teng bo’lsa, 𝑄(1) ni toping. A) 5 B) 2 C) -4 D) -6
19. Ifodani soddalashtiring va berilgan m=0,09; n=0,16; p=0,12 dagi qiymatlarini toping.
(√𝑚+√𝑛)(𝑚+𝑛+𝑝) (√𝑚) 3 +(√𝑛) 3 + 3
1 3 – 1 A) 3 B) 3 1 3 C) 9 D) 3,(6)
20. Tenglamani yeching: √(𝑥 + 2) 2 3 − 2√(𝑥 − 1) 2 3 + √𝑥 2 + 𝑥 − 2 3 = 0
A) -2 B) 1 C) yechimga ega emas D) 2 3 21. Ko’paytuvchilarga ajrating: 32𝑎 2 ∙ 𝑏 2 − 8𝑎
2 ∙ 𝑐
2
A) 8𝑎 2 (2𝑏 − 𝑐)(2𝑏 + 𝑐)
B) 2𝑎
2 (4𝑏 − 𝑐)(4𝑏 + 𝑐)
C) 8𝑏
2 (2𝑏 − 𝑎)(2𝑏 + 𝑎)
D) 𝑎
2 (8𝑏 − 𝑐)(4𝑏 + 𝑐)
22. Soatning minut mili 18 minutda necha gradusga buriladi? A) 108° B) 100° C) 120° D) 135°
23. Uchburchakning tomonlari 12;3 va x ga teng. Quyidagilardan qaysi biri x ga teng bo’la olmaydi? A) 12 B) 10 C) 11 D) 8
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 24. Balandligi 4 ga teng bo’lgan konus uchidan 3 ga teng masofada asosiga parallel tekislik bilan kesilgan. Hosil bo’lgan kesim yuzi bilan asos yuzlari nisbatini toping. A) 9
B) 1 16 C) 1 9 D) 15 16
25. Tekislikni kesib o’tmaydigan AB kesmaning uchlaridan tekislikkacha bo’lgan masofalar 𝐴𝐴 1 = 9; 𝐵𝐵
1 = 19
ga teng . Agar AB kesmadan olingan C nuqta uni AC:CB=3:4 kabi nisbatda bo’lsa, C nuqtadan tekislikkacha bo’lgan masofani toping. A) 12
2 7 B) 13 2 7
C) 11 2 7 D) 10 2 7
26. ABC uchburchakda BF va AE medianalar P nuqtada kesishadi. Agar PEF uchburchakning yuzi 3,5 ga teng bo’lsa, ABC uchburchakning yuzini toping.
A) 14 B) 36 C) 42 D) 56
27. Tekislikda o’zaro kesishmaydigan a va b to’g’ri chiziqlar berilgan. a to’g’ri chiziqdan 2 ta, b to’g’ri chiziqdan 6 ta nuqta belgilangan. Uchlari shu nuqtalarda bo’lgan jami nechta to’rtburchak yasash mumkin? A) 10 B) 12 C) 15 D) 16
katetlari 2 va 3 ga teng. Uni gipotenuzasi atrofida aylantirishdan hosil bo’lgan jismning hajmini toping. A)
12√13𝜋 13 B) 16√13𝜋 13
C) 36√13𝜋
13 D) 32√13𝜋 13
29. Kesik konus asoslari radiuslari 3 va 4 ga teng. Agar unga shar ichki chizilgan bo’lsa, kesik konusning sirtini toping. A) 25𝜋 B) 49𝜋 C) 74𝜋 D) 80𝜋
30. 𝑥 2 + 𝑦
2 + 𝑧
2 ≤ 4𝑥 + 6𝑦 + 10𝑧
tengsizlk bilan chegarlangan jismning sirtini toping. A) 148𝜋 B) 140𝜋 C) 152𝜋 D) 150𝜋
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