Va to`plamlarning birlashmasini toping.; b c ; d

10. Qaysi javobda natural sonlar to’plami berilgan.
A) B) C)
D) D={0,1,2,3,4,…}
11.

12.Bosh dioganal elementlari birga teng bo’lib,qolgan barcha elementlari nol bo’lgan matritsaga...matritsa deyiladi.
A) birlik B) nol C) teskari D) kvadrat
13. Uch vektor aralash ko`paytmasining geometrik ma`nosi ….. ifodalaydi.
A) piramidaning hajmini B) uchburchakning yuzini C) parallelogrammning yuzini
D) parallelopepidning hajmini
14. Ushbu y=sin(x3-5) funksiyaning hosilasini toping.
A)-3x2cos(x3-5) B) 3x2cos(x3-5) C) sin(3x2-5) D)cos(3x2-5) E)3x2sin(x3-5)
15. A(3; 4; 1) nuqtadan = 0 tekislikgacha bo’lgan masofani toping
A) B) 6 C) D) 2
16. Hosila j’(0) ni hisoblang.
f(x)=cosx/1-a
A)4 B)2 C)3 D)1
17.Agar x²-2xy+y2=9
xy=10 bo’lsa,|x+y| ni hisoblang.
A)7 B)6 C)5 D)8
18.Hosila g ‘(п/3) ni hisoblang.
g(x)=3x²/п-2tgx-п
A)10 B)2п-8 C)п+4 D)-6
19.f(x)=(x-1)x³+e³x-1/3 funksiyaning boshlang’ich funksiyasini toping.
A) 1/5x⁵-1/4x⁴+1/3e³^x-1/3ln|x|+C
B)1/4x⁴-1/5x⁵-1/3e³^x+1/3ln|x|+C
C)1/5x⁵-1/4x⁴-1/3e³^x+1/3ln|x|+C
D)(x⁴-x³)/3+3e³^x+1/5ln|x|+C
20. A(1;2) nuqtadan o’tuvchi va koordinata o’qlariga urinuvchi aylana tenglamasini tuzing.
A)(x-1)2+(y-1)2=1 B)(x+1)2+(y+1)=1
C)(x-1)2+(y+1)2=1 D)(x+1)2+(y-1)2=1
21. |3 -2|
|4 6| bo’lgan determinantni yechimi a bo’lsa,3a ni hisoblang.
A)78 B)76 C)36 D)24
22. a ⃗ va b ⃗ nokollinear vektorlar berilgan.|a ⃗ |=|b ⃗ |=2 bo’lsa,(a ⃗+b ⃗ )bilan (a ⃗-b ⃗ ) qanday burchak tashkil etadi.
A)45° B)90° C)75° D)60°

23. A = {matematika}

B={informatika}
AUB=?
A){m,a,t,e,I,k,n,f,o,r} B){m,a,t,i,k}
C){e,} D){f,o,r,n}
24.A(2:-5)va B(-4:3) nuqtalardan o’tuvchi to’g’ri chiziq qaysi choraklarda yotadi.
A)I;II;III B)I;III;IV C)II,III,IV D)I;II;IV
25. Quyidagi funksiyalarning qaysi biri uchun F(x)=2cosx+sinx+C
Funksiya boshlang’ich bo’ladi.
A)f(x)=-2sinx-cosx B)f(x)=2sinx+cosx
C)f(x)=-2sinx+cosx D)f(x)=2sinx-cosx
26. M nuqta BC ning o’rtasi ,N nuqta esa AC ning o’rtasi bo’lsin,OA=3 va OB=4 bo’lganda ON vektorni aniqlansin.
A)5,5 B)5 C) -0,5 D)0,5
27. Agar a ⃗(1;-1;3)va b ⃗(4;3;0)
bo’lsa a ⃗ ning qanday qiymatida 2a ⃗+αb ⃗ va b ⃗-a ⃗ vektorlar perpendikulyar bo’ladi.
A)5/6 B)1 C) 2,1 D) -7/11
28.A(-4;6) nuqta berilgan.Diametri OA kesmadan iborat aylana tenglamasini yozing.
A)x2+y2-4x+6y=0 B)x2+y2+4x-6y=0
C)x2-y2-4x+6y=0 D)x2-y2+4x-6y=0
29. ABC teng yonli uchburchakda M nuqta AC asosining o’rtasi.Agar AB=5 va BM=4 bo’lsa,|MB-MC+BA|vektorlarning qiymatini toping.
A)6 B)3 C)9 D)5
30. .ABCD to’g’ri to’rtburchakda AD=12,CD=5,O-dioganallarning kesishish nuqtasi |AB+AD-DC-OD|vektorlarni toping.
A)6.5 B)13 C)17 D)7