Sinf matematika 3-variant

9 – SINF

1. 
   Agar B(-2;-7) nuqta y=kx²+8x+m parabolaning uchi bo’lsa, k va m ning qiymatini toping.
   

A) k=1; m=9 B) k=2; m=-1 C) k=-1; m=-16 D) k=2; m=1.

2. 
   Agar f(x+1)= x²-3x+2 bo’lsa, f(x) ni toping.
   

A) x²-3x-1 B) x²-5x+6 C) x²-5x+1 D) x²-4.

3. 
   Qaysi nuqta y= x²+5x-2 funksiyaga teskari funksiyaning grafigiga tegishli?
   

A) (-2;1) B) (0;-2) C) (4;1) D) (4;5).

4. 
   Quyidagilardan qaysi biri musbat?
   

A) cos3 B) Sin4 C) Sin2 D) tg2.

5. 
   Hisoblang:
   

A) B) C) 2 D) 1.

6. 
   tg15⁰ - ctg15⁰ ni hisoblang.
   

A) B) C) D) .

7. 
   x²+16x+51 parabola uchining koordinatalariyig’indisini toping.
   

A) -104 B) -21 C) 21 D) 104.

8. 
   2¹⁰ + 3¹² yi’gindisining oxirgi raqamini toping.
   

A) 4 B) 1 C) 5 D) 9.

9. 
   Arifmetik progressiyada a₂-a₁=6 bo’lsa, a₈-a₅ ning qiymati nechaga teng bo’ladi?
   

A) 12 B) 10 C) 18 D) 9.

10. 
    Arifmetik progressiyaning dastlabki 8 ta hadi yig’indisi 32 ga, dastlabki 20 ta hadining yiginidisi 200 ga teng. Progressiyaning dastlabki 26 ta hadining yigindisini toping.
    

A) 342 B) 238 C) 260 D) 338.

11. 
    Olti haddan iborat geometrik progressiyaning dastlabki 3 ta hadining yig’indisi 168 ga, keyingi uchtasiniki esa 21 ga teng. Shu progressiyaning birinchi haidini toping.
    

A) 86 B) 126 C) 96 D) .

12. 
    Cheksiz kamayuvchi geometrik progressiyaning hadlari yig’indisi 8 ga, dastlabki 4 tasiniki esa ga teng. Agar uning barcha hadlari musbat bo’lsa, progressiyaning uchinchi hadini toping.
    

A) 1 B) 2 C) 3 D) 4.

13. 
    Bissektrissasi 12 ga teng muntazam uchburchakka tashqi chizilgan aylananing radiusini toping.
    

A) 9 B) 6 C) D) 8.

14. 
    To’g’ri burchakli uchburchak kateti 16 sm, uning gipotenuzasidagi proyeksiayasi esa 12.8 sm. Shu uchburchakning yuzi necha sm²?
    

A) 54 B) 84 C) 96 D) 48.

15. 
    Parallelogramm qo’shni tomonlarining yig’indisi 11 ga, ayirmasi esa 7 ga teng. Shu parallelogram diagonallari kvadratlarining yig’indisini toping.
    

A) 144 B) 170 C) 164 D) 121.

16. 
    Yuzlari 8 va 32 bo’lgan ikkita o’xshash uchburchak perimetrlarining yig’indisi 57 ga teng. Kichik uchburchakning perimetrini toping.
    

A) 19 B) 20 C) 12 D) 16.

17. 
    Romb diagonallarining tomonlari bilan hosil qilgan burchaklari kattaliklarining nisbati 4:5 ga teng. Rombning kichik burchagini toping.
    

A) 60⁰ B) 40⁰ C) 80⁰ D) 50⁰.

18. 
    Tomoni 12 ga va o’tkir burchagi 30⁰ ga teng rombga ichki chizilgan aylananing diametrini toping.
    

A) 6 B) 7 C) 8 D) 9.

19. 
    To’g’ri burchakli uchburchakning balandligi gipotenuzani 8 va 18 ga teng kesmalarga ajratadi. Shu balandlikni toping.
    

A) 8 B) 12 C) 24 D) .

20. 
    To’griburchakli trapetsiyaning asoslari 9 sm va 18 sm, katta yon tomoni esa 15 sm ga teng. Trapetsiyaning yuzini toping.
    

A) 162 sm² B) 172 sm² C) 154 sm² D) 192 sm².