29. Calculate the equation of the system of conic sections with basic points A(1,2); A(1,2); B(2,0); B(2,0) and such that the line a with equation x+y-3 z=0 is the tangent line in point A and b with equation x + 2 y - 2 z=0 is the tangent line in point B. Ans. k(x+y-3 2)(x+2y-22)-1(2x+y-42)²-0 30. Calculate the basic points of the system with basic conic sections x² + 2xy +7y²-5xz-17 yz +6z²=0 and -3 x²-4 xy + 5y²+3xz-9yz+6z²=0. Ans. (-1,1,1), (1,2,1), (2,0,1),(-1,1,1) 31. Calculate the polar line of P(1,1,1) relative to the conic section -3x³-4xy+5y²+3xz-9yz+6z²-0. Ans. -7x-3y+62-0 32. Calculate the polar line of P(1,1,1) relative to the conic section x² - y²-2xz+2yz=0. Ans. 0-0

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