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
- 8 – Variant.
7 – Variant. 1. a va b ratsional sonlar uchun 𝑎 + √3
𝑏 = 4 tenglik o’rinli bo’lsa, 𝑎 2
2 ning qiymatini hisoblang. A) 9 B) 12 C) 16 D) 8
2. Tenglamaning ildizlarining ko’paytmasini toping. |𝑥 2 − 8𝑥| = 𝑥 2 − 8𝑥 + 24 A) 2 B) 6 C) 12 D) 24
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 3. Hisoblang: √6 − 2√5 − √5 + 2 A) 0 B) -1 C) 1 D) 3 − 2√5
4. 𝑘(𝑘 + 1)𝑥 = 𝑘 + 4(3𝑥 + 1) k ning qanday qiymatida tenglama yechimga ega emas? A) 3 B) -4 C) 3 va -4 D) -1
5. 7 ∙ 17 5 ni 8 ga bo’lgandagi qoldiqni toping. A) 1 B) 3 C) 5 D) 7
6.
𝑥 3 𝑥−2 − 9𝑥 𝑥−2 ≤ 0 tengsizlikni nechta butun son qanoatlantiradi? A) 7 B) 5 C) 4 D) 2
7.
14 13 + 77 19 − 70 23 son qaysi oraliqqa tegishli? A) (1;2) B) (2;3) C) (3;4) D) (4;5)
8. 𝑓(𝑥) = 2 + 𝑙𝑜𝑔 3 𝑥 3 bo’lsa, 𝑓(9) = 𝑓(𝑥) − 𝑓 ( 1 𝑥
tenglamani yeching. A) 3√3
3 B) 3 C) 3√9 3
3
9. Geometrik progressiyaning beshinchi va ikkinchi hadlarining ayirmasi 56 ga, oltinchi va uchinchi hadlarining ayirmasi esa 112 ga teng bo’lsa, geometrik progressiyaning ikkinchi va to’rtinchi hadlarining yig’indisini toping. A) 24 B) 32 C) 40 D) 56
10. Agar 𝑎 = √3 − 1 bo’lsa, 𝑎 2 +3𝑎 𝑎−4 ∙ 𝑎−4 𝑎+3 + 2𝑎
ifodaning qiymatini toping.
A) 3√3 − 1 B) 3√3 − 3 C) √3 − 3 D) 3√3
11. Tenglamani yeching: (√2 4 ) 4𝑥+2 = (√2)
− 2𝑥 3 A) −
1 8 B) − 1 4
C) − 3 8 D) − 1 2
12. 𝑓(𝑥) = (𝑥 2 − 𝑥 + 2) ∙ (𝑥 − 1)
funksiyaning 𝑥 0 = 1
nuqtadagi hosilasini toping.
A) -1 B) 0 C) 1 D) 2
13. x va y lar uchun 𝑦 2 + 2𝑥 ∙ (𝑥 + 𝑦) − 8(𝑥 − 2) = 0 tenglik o’rinli bo’lsa, 3𝑥𝑦 4
A) 12 B) -12 C) 16 D) -18 GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 14. Hisoblang:
𝑐𝑜𝑠37°∙𝑐𝑜𝑠39°−𝑐𝑜𝑠53°∙𝑐𝑜𝑠51° 𝑐𝑜𝑠53°∙𝑐𝑜𝑠23°−𝑐𝑜𝑠67°∙𝑐𝑜𝑠37° − 2
A) -1 B) 0 C) 1 D) 2
15. Uchlari A(-1;1) ; B(3;1) va C(1;3) nuqtalarda bo’lgan uchburchakning yuzini hisoblang. A) 2 B) 3 C) 4 D) 6
16. 𝑓(𝑥) = (𝑥 − 2) 2 − 2
parobola uchining koordinatalarining ko’paytmasini toping. A) 4 B) -2 C) 2 D) -4
17. Agar 0 < 𝑎 < 1 bo’lsa, quyidagilardan qaysi biri ma’noga ega? A) 𝑙𝑜𝑔
𝑎 (𝑙𝑜𝑔
𝑎 lg 5)
B) 𝑙𝑜𝑔
𝑎 (𝑙𝑜𝑔
𝑎 (𝑎 + 1))
C) lg(𝑙𝑜𝑔 𝑎 𝑙𝑔50)
D) 𝑙𝑜𝑔
𝑎 (𝑙𝑜𝑔
𝑎 (𝑙𝑜𝑔
5 𝑎))
18. 𝑦 = 𝑥 2 + 1 𝑥 funksiyaning 𝑥 = 1 2
nuqtadagi ∆𝑥 = 1 2 orttirmasini toping. A) -0,25 B) -0,5 C) 0,5 D) 0,25
19. Ikkita turli lavozimga 7 ta odamdan necha xil usul bilan joylashtirish mumkin?
A) 42 B) 21 C) 14 D) 49 20. 29 ta o’quvchidan 3x-1 tasi ingliz tilini, 2x+1 tasi rus tilini, x-1 tasi ikkala tilni ham ( har bitta o’quvchi hech bo’lmaganda bitta tilni biladi) biladi.O‘quvchilarning nechtasi ikkita tilni biladi? A) 20 B) 9 C) 6 D) 7
21. Aniq integralni hisoblang: ∫ (2𝑥 + 1) ∙ cos(𝑥 2 + 𝑥) 𝑑𝑥 1 0
A) −2 sin 2 B) 2 sin 2 C) sin 2 D) 0
22. Soatning minut mili 15 minutda necha gradusga buriladi? A) 60° B) 30° C) 45° D) 90°
23. 2𝑎⃗ + 𝑏⃗⃗ 𝑣𝑎 2𝑎⃗ − 𝑏⃗⃗ vektorlar perpendekulyar va |𝑎⃗| = 5 bo’lsa, |𝑏⃗⃗| ni toping.
A) 10 B) 15 C) 20 D) 25
24. To’g’ri burchakli uchburchakning katetlari 12 va 16 ga teng bo’lsa, unga ichki va tashqi chizilgan aylanalarning markazlari orasidagi masofani toping. A) 4 B) √20 C) 3 D) √18
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 25. ABCD uchburchakli piramidaning yon qirralari AB=6; AC=12 va AD=10 ga teng. BAD, DAC, BAC burchaklar mos ravishda 30°, 45°, 60° ga teng bo’lsa, uning yon sirtini toping. A) 15 + 30√2 + 18√3 B) 15 + 30√3 + 18√2 C) 5 + 30√2 + 18√3 C) 5 + 30√3 + 18√2
26. 𝛼 tekislik va uni kesib o’tadigan AB kesma berilgan. Kesmaning uchlaridan 𝛼 tekislikkacha bo’lgan masofalar 𝐴𝐴 1 = 19𝑐𝑚; 𝐵𝐵 1 = 9 𝑐𝑚 bo’lsa, AB kesmaning A uchidan boshlab hisoblaganda 3:4 kabi nisbatda bo’luvchi C nuqtadan 𝛼 tekislikkacha bo’lgan masofani toping. A) 6 B) 7,2 C) 7 D) 6,8
27. Muntazam tetraedrning qirrasi 4 ga teng bo’lsa, uning asosiga ichki chizilgan aylana markazidan yon qirrasigacha masofani toping. A)
4√2 3 B) 4√3 3 C) 2√6 9 D) 2√3 9
28. To’la sirti 98𝜋 ga teng bo’lgan silindr hajmining eng katta qiymatini toping. A)
908√3𝜋 9 B) 196√3𝜋 3
C) 698√3𝜋
3 D) 686√3𝜋 9
29. ABC uchburchakning BD medianasidan shunday E va F nuqtalar olinganki, bu nuqtalar BD medianani teng uch qismga ajratadi( E nuqta B nuqtaga yaqin). Agar ABC uchburchakning yuzi 36 ga teng bo’lsa, ABF uchburchakning yuzini toping. A) 6 B) 9 C) 18 D) 12
30. Tomonlari AB=2, BC=4, CD=3 va AD=2 bo’lgan to’rtburchakka aylana tashqi chizilgan bo’lsa, ∠𝐴𝐵𝐶 ning qiymatini toping. A)
𝜋 3 B) 𝜋 6
C) arccos 1 4 D) 𝜋 − arccos 1 4 8 – Variant. 1. Ikkita turli ishni 8 ta kishiga necha xil usulda berish mumkin? A) 28 B) 56 C) 8 D) 64
2. 𝑦 = ln ( 5𝑥−12 4𝑥−15
) funksiyaga 𝑥 0 = −3
nuqtasidan o’tkazilgan urinma va koordinata o’qlari chegaralagan uchburchak yuzini toping. A) 1
B) 1 12 C) 1 6 D) 1 18
3. 𝑏 𝑛 = 3 ∙ 2
𝑛 bo’lsa, 𝑏 1 2
2 2 + ⋯ + 𝑏 8 2 =? A) 12 ∙ (2 15 − 1)
B) 2 ∙ (2 15 − 1) C) 12 ∙ (2 16 − 1)
D) 24∙ (2 16 − 1)
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 4. 𝑦 = 𝑙𝑜𝑔 3 𝑥
nuqtalaridan o’tkazilgan urinma tenglamalarining burchak koefitsiyentlarining ko’paytmasini toping.
A) 1 𝑙𝑛 2 3 B) − 1 𝑙𝑛 2 3
C) 1 3𝑙𝑛 2 3 D) 1 2𝑙𝑛
2 3
5. |7 − 2𝑥| = |5 − 3𝑥| + |𝑥 + 2| tenglamaning butun yechimlari nechta? A) 1 B) 2 C) 3 D) 4
6. cos (2 𝑎𝑟𝑐𝑠𝑖𝑛 √13 2 ) ni hisoblang. A) -12 B) 12 C) – 5,5 D) ∅
7. 𝑦 = √
√17−15𝑥−2𝑥 2 𝑥+3 funksiyaning aniqlanish sohasini toping. A) (−3; ∞) B) (− 17 2 ; 1)
C) (− 17 2 ; −3) ∪ (−3; 1) D) (−3; 1]
8. Ko’paytuvchilarga ajrating: 7𝑎 2 𝑏 2 − 28𝑎
2 𝑐 2 A) 7𝑎
2 (2𝑏 − 𝑐)(2𝑏 + 𝑐)
B) 7𝑎
2 (𝑏 − 2𝑐)(𝑏 + 2𝑐)
C) 7𝑎
2 (2𝑏 − 𝑐)(2𝑏 + 𝑐)
D) 𝑎
2 (7𝑏 − 𝑐)(4𝑏 + 𝑐)
9. Tenglamani haqiqiy ildizlari yig’indisini toping: (3 + √8) 𝑥 2 + (3 − √8) 𝑥 2 = 6
A) -1 B) 1 C) 2 D) 0 10. ∫ 𝑠𝑖𝑛2𝑥𝑑𝑥 aniqmas integralni hisoblang. A)
1 2 𝑐𝑜𝑠2𝑥 + 𝐶 B) 2𝑐𝑜𝑠2𝑥 + 𝐶 C) −
1 2 𝑐𝑜𝑠2𝑥 + 𝐶 D) −2𝑐𝑜𝑠2𝑥 + 𝐶
11. 2𝑡𝑔𝛼 − 𝑠𝑖𝑛𝛼 + 3𝑐𝑜𝑠𝛼 = 6 bo’lsa, 𝑐𝑜𝑠2𝛼 ni toping. A) 3 B) 0,8 C) -0,8 D) -0,6
12. Agar 𝑎 = √2∙(1+3√2) 4 bo’lsa, 2 1− 2 2+ 1 𝑎−2 ifodaning qiymatini toping. A) √2 B) 6 C)
√2−1 2 D) √2 2
13.𝑦 = 3𝑥 2 − 6𝑥 + 7
kvadrat funksiyaning absissa o’qiga nisbatan simmetrik funksiyasini aniqlang. A) 𝑦 = −3𝑥 2 + 6𝑥 − 7
B) 𝑦 = 3𝑥 2 + 6𝑥 + 7
C) 𝑦 = 3𝑥 2 − 6𝑥 + 7
D) 𝑦 = −3𝑥 2 − 6𝑥 − 7
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 14.
35 17 − 77 19 + 70 23 ifodaning qiymati quyidagi oraliqdan qaysi birida yotadi? A) (1;2) B) (3;4) C) (0;1) D) (2;3)
15. √(𝑥 − 3) 2 + (𝑦 + 4) 2 + √𝑥
2 + 𝑦
2
ifodaning eng kichik qiymatini toping. A) 0 B) 3 C) 4 C) 1 D) 5
16. 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)
17. 𝑎 + 1 𝑏 = 𝑏 + 1 𝑐 = 𝑐 + 1 𝑎 bo’lsa, 𝑎𝑏𝑐 =? A) -1;1 B) 0 C) -2;2 D) -1
18. a soni qanday bo’lganda a; a+4 va a+6 sonlar tub son bo’ladi? A) 13 B) 19 C) 11 D) 17
19. 𝑓(𝑥) = 𝑥 ∙ cos 𝑥 2 funksiyaning 𝑥 = √2𝜋 nuqtasidagi hosilasini toping. A) 0 B) -1 C) 0,5 D) 1
20. Tengsizlikning barcha butun ildizlarining yig’indisini toping: ( 3 2 ) 3𝑥 > ( 16 81 ) 1− 𝑥2 4
A) 9 B) 6 C) 10 D) 12 21. ABC uchburchakning BD medianasidan shunday E va F nuqtalar olinganki, bu nuqtalar BD medianani teng uch qismga ajratadi (E nuqta B uchiga yaqin). Agar ABC uchburchak yuzi 30 ga teng bo’lsa, CEF uchburchak yuzini toping. A) 4 B) 5 C) 10 D) 12
22. Aylanaga ABCD to’rtburchak ichki chizilgan. Agar ∠𝐴 = 74°, ∠𝐵 = 93° bo’lsa, ∠𝐶 − ∠𝐷 ning qiymatini toping. A) 19 ° B) 20 ° C) 21° D) 22°
23. Koordinata sistemasida A(7;2), B(5;5), C(-4;5), D(-6;-5) nuqtalar berilgan. Koordinata boshidan qaysi nuqtagacha bo’lgan masofa eng kichik? A) A B) B C) C D) D
24. Teng yonli trapetsiyaga ichki aylana chizilgan. Asoslari nisbati 4:9 kabi. Agar aylana radiusi 9 ga teng bo’lsa, trapetsiyaning katta asosi uzunligi toping. A) 12 B) 24 C) 27 D) 18
25. Uzunligi √189 ga teng bo’lgan AB kesma uchlari silindrning pastki va ustki asoslarida yotadi. Agar silindrning radiuslari uzunligi 9 ga, balandligi 11 ga teng bo’lsa, silindr o’qidan AB kesmagacha bo’lgan masofani toping. A) 1 B) 8 C) 2 D) 7
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 26. To’g’ri burchakli parallelipipedning 3 ta turli yoqlari diogonallari 6; 8 va √69 uzunliklarda bo’lsa, parallelipipedning diogonali uzunligini toping. A)
10 √2 B) 11 √2 C) 12 √2 D) 13 √2
27. Aylanadagi AB vatarga tiralgan ichki burchak 120°. Katta yoydan C nuqta shunday olinganki, bunda AC va BC yoylar nisbati 5:7 kabi bo’lsa, ∠𝐴𝐵𝐶 ning qiymatini toping. A) 100° B) 50° C) 200° D) 120°
28. Piramida asosi diogonallari soni bilan yoqlari soni yig’indisi 37 ga teng bo’lsa, piramidaning qirralari sonini toping. A) 8 B) 9 C) 18 D) 16
29. ABC uchburchakning A uchidan chiqqan bisektrissa BC tomonni D nuqtada kesib o’tadi. Agar ∠𝐴𝐷𝐶 = 118° bo’lsa, ∠𝐵 − ∠𝐶 ning qiymatini toping. A) 62° B) 59° C) 118° D) 56°
30. A(3;- 5) nuqtaning (4; 7) nuqtaga nisbatan simmetrik nuqtasini toping. A) (5;19) B) (5;9) C) (19;5) D) (9;5)
1. sin 37° = 𝑎 va cos 31° = 𝑏 bo’lsa, sin 28° + sin 16° ni a va b orqali ifodalang. A) 2(𝑎 2
2 ) B) 2(𝑎 2 + 𝑏
2 )
C) 2(𝑏 2 − 𝑎 2 ) D) (𝑎 + 𝑏) 2
2. (𝑥 2 + 4𝑥 + 1) ∙ (𝑥 2 − 3𝑥 + 1) = 8𝑥 2
ega? A) 1 B) 2 C) 3 D) 4 3. 𝑦 = −3𝑥 + 7 chiziqli funksiyaning 𝑦 = 𝑥 to’g’ri chiziqqa nisbatan simmetrigini tuzing. A) 𝑦 = −
1 3 𝑥 − 7 3 B) 𝑦 = − 1 3 𝑥 + 7 3
C) 𝑦 = 3𝑥 − 7 D) 𝑦 = 3𝑥 + 7
4. Hisoblang: 0,07 ∙ 10 −7 ∙ 0,31 ∙ 10 10
C) 2,17 D) 0,217
5. Agar 12 litr dengiz suvida o’rtacha 450 g tuz bo’lsa, 8 𝑚 3 dengiz suvida o’rtacha necha kg tuz bo’ladi? A) 0,3 B) 3 C) 30 D) 300
6. Gulnoza {1; 2; 3; 4; 5} to’plamdan ikkita turli xil raqam tanladi. Ismoil {1;2;3;…;9;10} to’plamdan bitta son tanladi. Ismoil tanlagan soni Gulnoza tanlagan sonlar yig’indisidan katta bo’lishi ehtimolini toping. A) 0,3 B) 0,4 C) 0,5 D) 0,45
7. 𝑓(1) + 𝑓(𝑥 + 1) = 2 + 9𝑥 bo’lsa, 𝑓(𝑥) ni toping. A) 𝑓(𝑥) = 9𝑥 + 8 B) 𝑓(𝑥) = −9𝑥 + 8 C) 𝑓(𝑥) = 9𝑥 − 8 D) 𝑓(𝑥) = −9𝑥 − 8
8. 𝑙𝑜𝑔 3 6 𝑙𝑜𝑔 18 3 − 𝑙𝑜𝑔
3 2 𝑙𝑜𝑔 54 3 ni hisoblang. A) 𝑙𝑜𝑔 3 2 B) 2 C) 0 D) 1
9. √𝑥 − 2 3 − √𝑥 − 9
3 = 1
tenglamaning ildizlari yig’indisini toping. A) – 11 B) – 10 C) 10 D) 11
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 10. 𝑓(𝑥) funksiya uchun 𝑓 ′
o’rinli. Agar 𝑔(𝑥) = 2𝑥 2 ∙ 𝑓(𝑥)
bo’lsa, 𝑔 ′ (2) 𝑓 ′ (2) ning
qiymatini toping. A) 4 B) 8 C) 16 D) 32
11. Matematika imtihonida o’quvchilarning 1 7 qismi “5” baho, 1 2 qismi “4” baho, “3” baho olganlar “5” baho olganlardan 6 ta ko’p. “2” baho olganlar 3 ta bo’lsa, “3” baho olganlar nechta? A) 16 B) 42 C) 12 D) 40
12. Ketma – ketlikning umumiy hadi 𝑥 𝑛 = 4𝑛 2 + 𝑐𝑛 − 4
ifoda bilan berilgan va 𝑥 4 − 𝑥 1 = 50 bo’lsa, ketma – ketlikning 3- hadini toping. A) 20 B) 21 C) 23 D) 22 13. Ikki sonning EKUK va EKUB lari ko’paytmasi 420 ga teng bo’lsa, bu ikki sonning ko’paytmasi 45 sonidan qancha ko’p? A) 365 B) 375 C) 385 D) 395 14. ∫
𝑥𝑑𝑥 √10+𝑥
2
integralni hisoblang. A) 1 4 √10 + 𝑥 2 + 𝐶 B) 1 2 √10 + 𝑥 2 + 𝐶 C) 2√10 + 𝑥 2 + 𝐶
D) √10 + 𝑥 2 + 𝐶
15. 𝑦 = −2𝑥 + 1 va 𝑦 = 2𝑥 2 − 6𝑥 + 5
funksiyalar orasidagi eng kichik masofani toping. A)
√5 5 B) 2√5 5 C) 3√5 5 D) 4√5 5
16. (𝑥
2 − 2𝑥 + 3) ∙ √3 − 2𝑥 ≤ 0
tengsizlikni yeching. A) [ 3 2 ; ∞) B) (−∞; 3 2
C)
3 2 D) −3; 1; 3 2
17. – 1,6 soniga qarama – qarshi bo’lgan son 3
dan qanchaga ko’p? A) 0,85 B) 0,75 C) 0,95 D) 1,05
18. { |𝑥 − 3| = 3√𝑦 + 2 |𝑦 + 2| = 3√𝑥 − 3 tenglamalar sistemasini yeching. A) (12; 7) B) (7; 12) C) (13; 8) D) (8; 13)
19. Hisoblang: sin 26°+cos 56° 2 cos 4°−3 sin 86°
A) – 2 B) – 1 C) 1 D) 2 20. Soddalashtiring:
(4𝑎
2 𝑏 3 ) 3 (−2𝑎 2 𝑏 3 ) 2
A) 8𝑎 2 𝑏 3 B) −8𝑎 2 𝑏
C) 16𝑎
2 𝑏 3 D) −16𝑎 2 𝑏 3
21. ABC uchburchakning BD medianasidan shunday E va F nuqtalar olinganki, bu nuqtalar BD medianani teng uch qismga ajratadi (E nuqta B uchiga yaqin). Agar ABC uchburchak yuzi 24 ga teng bo’lsa, BEC uchburchak yuzini toping. A) 4 B) 3 C) 9 D) 8
22. Aylanaga ABCD to’rtburchak ichki chizilgan. Agar ∠𝐴 = 109°, ∠𝐵 = 98° bo’lsa, ∠𝐷 − ∠𝐶 ning qiymatini toping. A) 9 ° B) 10 ° C) 11° D) 12°
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 23. Koordinata sistemasida A(2;3), B(3;- 4), C(-6;5), D(-5;4) nuqtalar berilgan. Koordinata boshidan qaysi nuqtagacha bo’lgan masofa eng kichik? A) A B) B C) C D) D
24. A( - 1; 6) nuqtaning (4;3) nuqtaga nisbatan simmetrik nutasini toping. A) (0;9) B) (4; 6) C) (9;0) D) (6;4)
25. Silindrning to’la sirti 72𝜋 ga teng bo’lsa, silindr hajmining eng katta qiymatini toping. A) 24√3𝜋 B) 48√3𝜋 C) 64√3𝜋 D) 72√3𝜋
26. Piramida asosi diogonallari soni bilan yoqlari soni yig’indisi 46 ga teng bo’lsa, piramidaning qirralari sonini toping. A) 9 B) 10 C) 18 D) 20
27. Aylanadagi 5 ta nuqtadan nechta vatar o’tkazish mumkin? A) 20 B) 4 C) 8 D) 10
28. 𝑎⃗(1; 2), 𝑏⃗⃗(2; 1), 𝑐⃗(𝑥 − 1; 𝑦 − 1) vektorlar uchun 2𝑎⃗ − 3𝑏⃗⃗ = 𝑐⃗ o’rinli bo’lsa, 𝑥 va 𝑦 ni toping. A) – 3; 3 B) – 3; 2 C) 3; - 3 D) 2; - 3
29. Agar ABC uchburchakning tomonlari AB:AC:BC = 5:4:7 kabi nisbatda bo’lsa, uchburchakning qaysi burchagi eng katta bo’ladi? A) A B) B C) C D) hammasi teng
30. ABCD parallelogramda D o’tmas burchak. E nuqta AB tomonda yotadi. Agar AE:EB nisbat 2:5 kabi bo’lsa, BCDE to’rtburchak yuzini DAE uchburchak yuziga nisbatini toping. A) 5:1 B) 5:2 C) 6:1 D) 7:2
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