The Question of plane analiytic geometry
1. Draw on the cartessius the following points A
(1,1), B (4,2), C (3,0), D(0,4) and E (-2,3)!
2. Definite distance between A and B, if A (-5,1)
and B(-2,-3)!
3. known that A(-5,1), B(3,-5) and C(2,2).
Calculate the area of triangle ABC.!
4.
Draw the curve y=x2-4!
5. Draw the curve
x2+y2=1!
6. Draw the curve
x=y2-4!
7. Proof , that line equation through (a,0) and
(0,b) is 
!
!
8. Definite the line equation through (1,0) and parallel with y=2x!
9. Definite the line equation through (1,0) and perpendicular with
y=2x!
10. Whether the three of points (1,-3), (4,3) and
(2,-1) stay on one line?
11. Definite intersection the line of x+2y-3=0 with the pith of-x and the pith
of-y!
12. Does a straight line defined by (2,-3) dan (-4,5) through the base point 0?
13. Definite the circle equation if the radius is
2 and mention the axis positif of x
and the axis
negatif of y!
14. Definite center of the circle and radius of the
circle which has the equation
x2+y2+8x-6y=0. is a
special circle whose equation
contains no constanta!
15. Definite center of the circle and radius of the
circle which has the equation x2+y2-4y-5=0.
Is a special circle
whose equation contains no variable of x!
16. Find the equation of a circle centered is through (1,3),
(6,-2) and (-3,-5)!
17. Determine the equation
tangent to a circle x2 +y2 =25 at the point (-4.3), and
also determine the equation of the tangent line is parallel to the line!
18. Determine the equation of a tangent to a circle on
the circle x2+y2=25
at the
points:
a. has abscissa
-4
b. has ordinate
+4
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