Let P(1, 2) and Q(-1, –2) be two symmetric points with respect to the origin. Find the parametric equation of the circle C with centre P and radius PQ.

Q: Write parametric equations to describe the curves traced by the following motions

A: The rectangular equation of the circle with center at 0, 0 and radius 2 is given as follows:…

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: 3. Find parametric equations for the graph of a circle centered at (-3,1) and radius 3.

A: Let's find parametric equations for the graph.

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: Find polar coordinates of the point whose rectangular coordinates are (-2, 0).

A: x, y=-2, 0⇒x=-2 & y=0

Q: Consider the line r in the space that passes through points A = (1, 3, −1) and B = (3, −1, 1).…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answer as…

A: THE GIVEN LINE IS, x=y=z WE CAN REWRITE IT AS, x-01=y-01=z-01 SO, THE DIRECTION RATIOS FOR THE LINE…

Q: Find a polar equation for a parabola that has its focus at the originand whose directrix is the line…

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Q: Find the Cartesian equation for the circle defined by the parametric equations x=1+2cost and…

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Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: The circle (x-4)² + (y-2)² = 9 can be drawn with parametric equations. Assume the circle is traced…

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Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given