(a) What is the discriminant of the equation in ? How can you use the discriminant to determine the type of conic that equation represents.
(b) Use the discriminant to identify the equation in .
. (a) Suppose that the and axes are rotated through an acute angle to produce the and axes. What are the equations that relates the coordinates and of a point in a plane and plane, respectively.
(b) In the equations below, how do you eliminate the term?
(c) Use a rotation of axes to eliminate the term in the equation
Graph the equation.
The discriminant of the equation in and the usage of discriminant to determine the type of conic that equation represents.
The equation from is,
The general equation of discriminant of a conic is .
The graph is
The representation of equation in with the help of discriminant.
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