Ta’lim tizimidagi chuqur va keng ko`lamli islohotlarning mazmuni va amalga oshirish muddatlari O`zbekiston Respublikasining "Ta’lim to`g`risidagi" qonunda o`z ifodasini topgan

5- variant

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

A) C= {3;5;7;9} B) C={5;10} C) C={Ø} D) C={3;5;7;8;9;10}
2. =>- belgisi qanday belgi.
A) ekvivalensiya B) dizyunksiya C) implikatsiya D) konyunksiya
3. Yig’ndini hisoblang:
A) B) C) D)
4. Agar x>y>z bo`lsa, |x-y|-|z-y|-|z-x| ni soddalashtiring.

A) 2x B) 2x-2y C) 2y D) 2z-2y

5. A(x)=x³-3x²+5x-6 ko’phadni B(x)=x-2 ko’phadga bo’lgandagi qoldiqni toping.
A) 0 B) 2 C) 3 D) -1
6. Ayirmani toping: (7+5i)-(6+3i)
A) 1-2i B) 1+2i C) 1+8i D) 13-2i
7. Tenglamani yeching: (x²+3)²-11(x²+3)+28=0
A) ±2 B) -2 va -1 C) ±1 D) ±2 va ± 1
8. tenglamani yeching.
A) 0 B) 2 C) 4 D) -4
9. tengsizlikni yeching:
A) (-∞; -4) (8: ∞) B) (-∞;8) C) (-∞;4] (4; ∞ ) D) (4; ∞ )
10. tengsizlikni yeching.
A) (-∞; 22) B) [22; ∞) C) (-∞;22] (22; ∞ ) D) (22; ∞ )
11. y=sin⁴x+cos⁴x funksiyaning davrini toping.
A) B) C) D)
12. Soddalashtiring. sin² +sin²β -sin² ∙sin²β+cos²α∙cos²β
A) -2 B) 0 C) -1 D) 1

13. Tenglamani yeching. 2sin²x+7cosx-5=0

A) B) C) D)
14. Tengsizlikni yeching.
A) B)
C) D) -
15. Tenglamani yeching.
A) 3 B) 2 C) 4 D) -2
16. Tengsizlikni yeching: 5^x-1 ≤
A) x ≤ 1 B) x> C) x≤3 D) x≥3
17. Aniqlanish sohasini toping: y = lg (x-3) +lg(x+3)
A) (-∞; 3) B) [3; ∞) C) (-∞;-3] (3; ∞ ) D) (3; ∞ )
18. Agar bo`lsa, ni a orqali ifodalang.
A) B) C) D)
19. Tenglamani yeching: log₂(x²+4x+3)=3
A) -5; 1 B) -1; 5 C) -1;-5 D) 1;5
20. Tengsizlikni yeching: log_0,3(2x+5) log_0,3(x+1)
A) (-2,5; -1) B) Ø C) (1; 2,5) D) (-1;2,5)
21. Bitta nuqtadan tekislikka og’ma va perpendikulyar o’tkazilgan. Og’maning uzunligi 5 sm, perpendikulyarniki 3 sm. Og’maning tekislikdagi proeksiyasi necha sm?
A) 2 sm B) 2 sm C) 1,5 sm D) 4 sm
22. Agar (-1;2;8) va (3;-2;1) bo’lsa, vektorning uzunligini toping.
A) 9 B) 9 C) 12 D) 8
23. A(x;0;0) nuqta B(0;1;2) va C(3;1;0) nuqtalardan teng uzoqlikda joylashgan bo`lsa, x ni toping.
A) B) C) - D) -
24. Muntazam to`rtburchakli piramidaning balandligi 24 ga, asosining tomoni esa 14 ga teng. Piramidaning apofemasini toping.
A) 18 B) 27 C) 25 D) 32
25. Silindrning balandligi 3 ga, o`q kesimining diagonali 5 ga teng. Asosining radiusini toping.

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