Compute the intersections of the curve xy = 1 and the lines x +y = 5/2, x+y = 2, x+y = 0, x=0 , x=1 in the affine space and then in the projective space by using homogeneous coordinates. Complex solutions are valid.

Q: Which of the following is the center and radius of the circle? ²+²+4x-14y+46-0 O Center (2,-7);r=7 O…

A: equation is given is  x2 + y2 +4x -14y + 46 = 0 compare with circle equation  (x-a)2 + (y-b)2 = r2…

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: By completing the square, put the equation 2 – 64y tử + 42 – 16z = –68 Into the standard form…

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Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: Write the quadratic surface x2-y2+4z2+2x+4y+1=0 in standard form.

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Q: Write the equation form for the plane defined by co x1 + 1 Ex2 + -10 -0-0-0 + s 3 + t X = x3 = -1 3

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