

Conic Sections and Angle Analysis
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in writing the equation of a rotated conic in standard form?
Determine the type of conic section.
Use the equation cot(2θ) = (A - C) / B.
Graph the conic section.
Find the center of the conic.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we use rotation formulas in conic sections?
To simplify the equation and make graphing easier.
To find the center of the conic.
To change the type of conic section.
To eliminate the need for a calculator.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If cot(2θ) is positive, what range should θ be in?
90 to 135 degrees
45 to 90 degrees
135 to 180 degrees
0 to 45 degrees
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if you still have an xy term after transformation?
Check for algebraic mistakes.
Use a calculator to verify.
Recalculate the center of the conic.
Change the type of conic section.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the value of A?
3
5
8
10
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle θ after dividing 2θ by 2 in the example?
60 degrees
45 degrees
30 degrees
15 degrees
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of conic section is identified in the example?
Circle
Hyperbola
Parabola
Ellipse
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