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test matematika fanida akademik litse

19- variant

1. A={2;3;4;5;6;7;8}, B={5;6;7;8;9;10} to’plamlarning birlashmasi bo’lgan C to’plamni toping.


A) C= {2;3;4;5;6;7;8;9;10} B) C={5;6;7;8}
C) C={2;3;4} D) C={9;10}
2. Mantiqiy amal belgilaridan foydalanib jumlani yozing: a>0 va b>0 bo'lsa, ab>0 bo'ladi.
A) (a>0) (b>0)=> (ab>0) B) (a > b) => (b > c) => (ab > c)
C) (a > b) (b > c) => (ab > 0) D) (a > 0) (b > 0) => (a > c)
3. Hisoblang.
A) B) C) D)
4.Ifodaning qiymatini toping :  , a=2, b=-3.
A) 6 B) -2 C) -6 D) 2
5. x5-4x3+x2 ko’phadni x-3 ikkihadga bo`lgandagi qoldiqni toping:
A) 124 B) 142 C) 122 D) 144
6. Amallarni bajaring : 4,2(3-i)(1+i)+2+3i
A) 16,8+8,4i B) 16,8-8,4i C) -16,8+8,4i D) -16,8-8,4i
7. Tenglamani yeching: x3+2x2=4x+8 
A) 2 B) ±2 C) -2 D) ±2 va 1
8. Tengsizlikni yeching :
A) (-∞;-4) B) [4;6] C) (-∞;-4) [6;+∞) D) (-∞;-4]
9. Irratsional tenglamani yeching:
A) -2 B) -3 C) -2 va 3 D) 3
10. Irratsional tengsizlikni yeching:
A) [-4;+∞) B) [4;6] C) (4;6) D) (-∞;-4]
11.Funksiyaning davrini toping: y=cos
A) B) 14 C) 12 D) 16
12. Soddalashtiring. sin2 +sin2β -sin2 ∙sin2β+cos2α∙cos2β
A) -2 B) 0 C) -1 D) 1
13. Tenglamani yeching.
A) B) C) D)
14. Tengsizlikni yeching
A) B)
C) D) -
15. Ko`rsatkichli tenglamani yeching: 5x+3·5x-2=28
A) 2 B) 1 C) 0 D) 3
16. Ko`rsatkichli tengsizlikni yeching: 4x-10·2x+16 < 0
A) (1; ∞ ) B) (-1; ∞) C) (-∞; 1) D) (-∞; -1)
17. y= funksiyaning aniqlanish sohasini toping.
A) (-1;3) B) [-1; 3) C) (-∞;3) D) (-∞;-1)
18. Tengsizlikni yeching: log (x-2)+log (12-x)≥-2
A) Ø B) (-2; 12) C) (-∞;2) D) (2;12)
19. Ushbu y=logx-1(x- ) funksiyaning aniqlanish sohasini toping:
A) ( ;∞) B) (1;2) (2;∞) C) (-0,25;2) (2;∞) D) [-0,25;2) [2;∞)
20. Tenglamani yeching. log2(9x-1+7)=2log2(3x-1+1)
A) 2 B) 1 C) 3 D) 4
21. Bir nuqtadan berilgan to`g`ri chiziqqa perpendikulyar va 2 ta og`ma o`tkazilgan. Agar og`malarning uzunliklari 41 va 50 ga, ularning to`g`ri chiziqdagi proyeksiyalari nisbati 3:10 ga teng bo`lsa, perpendilulyarning uzunligini aniqlang.
A) 38 B) 32 C) 40 D) 36
22. Quyidagilardan qaysi biri yz tekisligiga nisbatan P(3;-2;4) nuqtaga simmetrik bo`lgan nuqta?
A) (3;2;4) B) (3;2;-4) C) (-3;2;-4) D) (-3;-2;4)
23. m ning qanday qiymatida (1;m;-2) va (m;3;-4) vektorlar perpendikulyar bo`ladi?
A) 2 B) -2 C) 4 D) -4
24. O`lchovlari 11x20x16 bo`lgan to`g`ri burchakli parallelepipedga eng ko`pi bilan tomoni 3 ga teng bo`lgan kublardan nechtasini joylashtirish mumkin.(barcha kublarning qirralari parallelepipedning qirralariga parallel).
A) 90 B) 138 C) 130 D) 120
25. Konus asosining radiusi 6 ga, balandligi 8 ga teng. Konus yoyilmasining uchidagi burchagini toping.
A) 1080 B) 2160 C) 1500 D) 1200



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