91Ó°ÊÓ

The locus of a point in the plane that moves such that its distance from a fixed point (focus) is in a constant ratio to its distance from a fixed line (directrix) is a _____.

Fill in the blanks. If \(f\) and \(g\) are continuous functions of \(t\) on an interval \(I\), then the set of ordered pairs \((f(t), g(t))\) is a _____ _____ \(C\).

An __________ is the set of all points \((x, y)\) in a plane, the sum of whose distances from two distinct fixed points, called _________, is constant.

Fill in the blanks. The origin of the polar coordinate system is called the ____.

Fill in the blanks. A ________ is the set of all points \((x, y)\) in a plane for which the absolute value of the difference of the distances from two distinct fixed points, called ________, is constant.

The _____ of a nonhorizontal line is the positive angle \(\theta\) (less than \(\pi\) ) measured counterclockwise from the \(x\) -axis to the line.

Fill in the blanks. The _______ of a curve is the direction in which the curve is traced out for increasing values of the parameter.

The chord joining the vertices of an ellipse is called the ___________ _____________ , and its midpoint is the _________ of the ellipse.

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 \(\overline{O P}\).

If a nonvertical line has inclination \(\theta\) and slope \(m,\) then \(m=\)_____.