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Lesson: Identifying Conic Sections Mathematics • 10th Grade

In this lesson, we will learn how to convert the general form of conic section equations into any of the standard forms.

Lesson Plan

Students will be able to

convert between general and standard forms of equations of conic sections,
identify whether an equation of a conic section describes a parabola, a circle, a noncircular ellipse, or a hyperbola by examining its discriminant.

Q1:

Consider the conic given by the equation .

Write the equation in standard form.

Hence, describe the conic.

Q2:

Which type of conic is described by the equation ?

Q3:

By calculating the discriminant, identify the type of conic that is described by the equation .

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