Вопрос № 1

ComputeА*В,ifА=В=

.

.

.

.

.

Вопрос № 2

Compute and determine the 3rd order:

3.

20.

0.

-12.

-36.

Вопрос № 3

ComputeА*В,ifА=В=

.

.

.

.

.

Вопрос № 4

Compute and determine the 3rd order:

-22.

-1.

1.

-2.

0.

Вопрос № 5

ComputeА*В ,ifА=В=

.

.

0.

.

.

Вопрос № 6

Compute and determine the 3rd order:

87.

-27.

0.

14.

17.

Вопрос № 7

Solve the system if equalizations:

(3; -4; 0).

(0; -4; 3).

(-3; 4; 0).

(3; -4; 0).

(0; 1; -3).

Вопрос № 8

Solve the system if equalizations:

(-1;1; -1).

(-1; 0; 1).

(-1; -1; 0).

(1; -1;-1).

(-1; -1; 1).

Вопрос № 9

Solve the system if equations:

(-4; 2; -1).

(4; -2; 1).

(4; -1; 2).

(0; 2; 1).

(-1; 2; 0).

Вопрос № 10

Compute and determine the 2nd order:

17.

-18.

0.

10.

-10.

Вопрос № 11

The equation of a circumference of radius R = 5 with center at the origin:

х²+у²=25.

х²+у²=16.

у=kx+b.

(х-а)²+(у-b)²=r².

Вопрос № 12

The equation of a circumference of radius R = 7 with the coordinates of the center: the abscissa a = 3, the ordinate b=-2:

(х-3)²+(у+2)²=49.

х²+у²=16.

у=kx+b.

(х-а)²+(у-b)²=r².

х²+у²=25.

Вопрос № 13

The point of intersection of the circumference (х-4)²+у²=25:

М(0; 3)

М(-2; -4).

М(-2; -4).

М(0; -4).

М(0; 0).

Вопрос № 14

Coordinates of a center and radius R of the circumference (х-2)²+(у+4)²=25:

О(2;-4); R=5.

О(0; 0); R=5.

О(2;-4); R=25.

О(2;4); R=25.

О(-2;4); R=5.

Вопрос № 15

Coordinates of a center and radius of the circumference х²+у²-25=0:

О(0; 0); R=5.

О(2;-4); R=5.

О(2;-4); R=25.

О(2;4); R=25.

О(-2;4); R=5.

Вопрос № 16

Show the equation of circumference, where the center is situated in point (2;-3) and circumference passes through the point (5;1):

(х-2)²+(у+3)²=25.

х²+у²=16.

у=kx+b.

(х-а)²+(у-b)²=r².

(х-3)²+(у+2)²=49.

Вопрос № 17

The distance between centers of the circumferences х²+у²=16 and (х+3)²+(у+4)²=25:

5.

4.

3.

25.

16.

Вопрос № 18

Abscissa of the circumference’s point х²+(у+4)²=41 and the point on it with ordinate equals zero:

5.

4.

3.

25.

16.

Вопрос № 19

The curve, specified by equalization (х-а)²+(у-b)²=r²:

Circumference.

Parabola.

Ellipse.

Hyperbola.

Straight line.

Вопрос № 20

Ordinate of the circumference’s point (х+3)²+у²=25, where abscissa equals zero:

4.

5.

3.

25.

16.

Вопрос № 21

A canonical equalization of the ellipse:

(х-а)²+(у-b)²=r².

у=kx+b.

х²+у²=16.

Вопрос № 22

The curve, set by the equalization :

Ellipse.

Circumference.

Parabola.

Hyperbola.

Straight line.

Вопрос № 23

The point of intersection the hyperbola х²-4у²=16 with the axis of abscissas:

М( ±4; 0).

М( -5; 1).

М( ±5; 0).

М( ±6; 0).

М( ±7; 0).

Вопрос № 24

Coordinates the point М, hyperbola х²-9у²=16 with the ordinate, equals 1:

М( ±5; 1).

М( ±4; 0).

М( ±5; 5).

М( 0; 0).

М( ±5; 25).

Вопрос № 25

Canonical type of hyperbola 64х²-25у²=1600:

Вопрос № 26

Canonical type of the ellipse 9х²+25у²=225:

Вопрос № 27

Equalizations of asymptotes of the hyperbola :

,c>a.

,c<a.

.

.

Вопрос № 28

Equalizations of asymptotes of the hyperbola :

.

.

,c<a.

,c<a.

.

Вопрос № 29

Describe the distance d from origin coordinates to point М(х;у):

;

;

;

;

;

Вопрос № 30

The distance d from origin coordinates to point М(-3; 4):

5;

25;

1;

-7;

-12;

Вопрос № 31

The distance between two points М₁(х₁;у₁)и М₂(х₂;у₂):

Вопрос № 32

The distance between two points М₁(8; 3)и М₂(0; -3):

10.

0.

11.

100.

-11.

Вопрос № 33

Length of the cutoff АВ with the coordinates А(х₁;у₁) and В(х₂;у₂):

Вопрос № 34

Length of the cutoff АВ with the coordinates А(2; 4)и В(5;8):

5;

25;

1;

-7;

-12;

Вопрос № 35

A triangle set by the coordinates of its apices А(1; 1), В(4;1), С(1;5). Length of the side АВ equals:

3;

25;

1;

-7;

-12;

Вопрос № 36

Coordinates of the interval’s midpoint АВ, А(х₁;у₁)and В(х₂;у₂):

.

.

.

.

.

Вопрос № 37

Coordinates of the interval’s midpoint АВ, А(1;-1)и В(5;9):

(3; 4).

(1;-1).

(5; 9).

(3; 4).

(6; 8).

Вопрос № 38

A rectangle prescribed by coordinates of its apices А(1; 1), В(3;1), С(1;5). Coordinates of the eg’s midpoint АС:

М(2; 1), N(2;3), P(1;3).

М(1; 1), N(2;3), P(1;5).

М(2; 2), N(3;3), P(1;3).

М(1; 1), N(2;3), P(1;3).

М(2; 1), N(3;1), P(1;5).

Вопрос № 39

A rectangle prescribed by coordinates of its apices А(1; 1), В(8;-5), С(3;5).Point М the midpoint of the leg АС. Length of the median ВМ equals:

10;

6;

7;

8;

9;

Вопрос № 40

Disposition of straight Ах+Ву+С=0, if В=0, С0:

parallel to axis ОХ;

axis ОХ;

parallel to axis ОУ;

axis ОУ;

passes through the origin coordinates.

Вопрос № 41

Angular coefficient of the straight 2,5у-5х+5=0:

2;

2,5;

-2;

-2,5;

5;