(1) Compute the intersection point of the following two lines using the cross product y=-0.5x+2 3x+6y=5 (2) Give the general homogeneous forms of an ideal point and the line at infinity and verify that the ideal point is on the line at infinity (3)give the equation of a conic in inhomogeneous, homogeneous and matrix forms

Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

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Q: 1. Let l be the line of the extended Euclidean plane through the points P (1,2,3) and Q = (1,1,1),…

A: Note: According to our guideline we will answer the first three subparts of the question as the…

Q: Watch help video Write the equation of the conic section shown below. -10-9-8 -7 -6 -5 -4 -3 -2 y 10…

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Q: 1) x² + y² + 30x – 16y+285 = 0

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (a) Evaluate and locate the distinct solutions to (w)4 =-1. (b) Evaluate and locate the distinct…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: x²uzz + 2ryuzy + y°uyy = 0 %3D (a) Classify the PDE as hyperbolic, parabolic or elliptic. (b) Reduce…

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Q: 3. Transform into standard form and identify the conic sections: a) 92²-4y²-36x-24y-35-0. b) x²-3xy…

A: 9x2-4y2-36x-24y-35=0

Q: 5. Sketch the graph and find the coordinates of the foci for the conic 4(x+2)² =36-9(y−1)²

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Q: Write the equation of the conic section shown below. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 y 10 9 00 7 9 5…

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Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: 8 (1) Find the center of the conic section r = 2-cos(0) (a) (8/3,0) (b) (-8/3,0) (c) (0,8/3) (d)(0,…

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Q: 20) Find the coordinàtes of the foci of the conic x² –10x –16y² – 64y – 55= 0

A: We write the given conic in standard form Then we compare it with the standard equation of a…

Q: 3. Find a rotation matrix to transform the quadratic equation to standard form, then use it to find…

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Q: EXERCISE 2: Conics: Let a? – y² – 4.x + 8y = 13 a/ Which conics it is? b/ Find the standard…

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Q: 4) Transform the parabolic equations (9)40xxt120xy けy-20x +0こo x+9 (6) e2x Uxx +2e**Jxy+ e®Uyy=O to…

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Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: Complete the parametric equations for the line where the planes-6x + 3y + 3z = -18 and -2x + 3z= -9…

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Q: Consider the conic of equation: x2 − 2xy + y2 − 2x − 2y + 1 = 0.…

A: This is a problem of general quadratic form and rotation of axis.

Q: Consider the conic of equation: x2 − 2xy + y2 − 2x − 2y + 1 = 0.…

A: This is the problem for the general quadratic and rotational axis.

Q: 1. Use Cauchy- Reimann Equations to identify if it is differentiable or not, if yes then…

A: We have to find out that the given equation is differentiable or not and if it differentiable then…

Q: Which of the following is the graph of -9x2 + 4y2 = 0 %3D O empty set circle

A: Given that: -9x2+4y2=0   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

Q: (x-3)' , (v+1)* 9. 4 36 a) Graph the conic section. b) Name the coordinates of the foci.

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