Answers to Math Exercises: Analytic Geometry of the Conic Sections 
( x – 22 )^{2} + ( y + 7 )^{2} = 425
( x – 1 )^{2} + ( y – 1 )^{2} = 26
( y – 6 )^{2} = –9 ( x – 4 )
( y + 7 )^{2} = 4 ( x – 3 )
( x + 1 )^{2} + ( y + 2 )^{2} = 18
p_{1}: 3x + 4y – 25 = 0; p_{2}: 4x – 3y – 25 = 0
p_{1}: x + 4 = 0; p_{2}: 4x + 5y – 19 = 0
p_{1}: 2x – 3y + 9 = 0; p_{2}: x + y + 2 = 0
p: x – 3y + 5 = 0
p_{1}: x – 4y + 5 + = 0; p_{2}: x – 4y + 5 – = 0
p_{1}: x – y + 5 = 0; p_{2}: x – y – 5 = 0
p: 3x – 2y + 11 = 0
p_{1}: 5x – 2y + 9 = 0; p_{2}: 5x – 2y – 9 = 0
The intersection points of the hyperbola and the circle are [ 0 ; 2 ± ] and [ 8 ; 2 ± ].
The two circles intersect at two points [ 9 ; –3 ] and [ 6 ; 6 ].
( x – 2 )^{2} + y^{2} + ( z + 3 )^{2} =
C [ –6 ; 7 ; –8 ]; r = = 15.78
The straight line intersects the sphere at two points [ 3 ; 1 ; 0 ] and [ 1 ; 3 ; 2 ].
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