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Magazine Problem 2
The chord joining the vertices of an ellipse is called the ____________ and its midpoint is the ____________ of the ellipse.
Problem 2
Fill in the blanks. For the point \((r, \theta), r\) is the _____ _____ from \(O\) to \(P\) and \(\theta\) is the _____ _____, counterclockwise from the polar axis to the line segment \(\overline{O P}\).
Problem 3
Fill in the blanks. A collection of points satisfying a geometric property can also be referred to as a _____ of points.
Problem 3
Fill in the blanks. The line segment connecting the vertices of a hyperbola is called the __________ __________, and the midpoint of the line segment is the __________ of the hyperbola.
Problem 3
The chord perpendicular to the major axis at the center of the ellipse is called the ___________ of the ellipse.
Problem 3
The equation \(r=2+\cos \theta\) represents a _______ _______
Problem 3
Fill in the blanks. To plot the point \((r, \theta),\) use the _____ coordinate system.
Problem 3
Fill in the blanks. The process of converting a set of parametric equations to a corresponding rectangular equation is called _____ the _____ .
Problem 4
Fill in the blanks. The polar coordinates \((r, \theta)\) are related to the rectangular coordinates \((x, y)\) as follows: \(x=\) ____ \(y=\) ____ \(\tan \theta=\) _____ \(r^{2}=\) _____.
Problem 4
Fill in the blanks. A______ is defined as the set of all points \((x, y)\) in a plane that are equidistant from a fixed line,called the ______ and a fixed point, called the ______ not on the line.
