Conic Sections and Hyperbolas
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing the conic section x^2 + 4xy + y^2 - 3 = 0?
Calculate the discriminant
Find the angle of rotation
Identify the type of conic section
Rewrite the equation in standard form
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the general form of a conic section equation, what does the term 'bxy' represent?
The constant term
The linear term
The mixed term
The quadratic term
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the discriminant for the equation x^2 + 4xy + y^2 - 3 = 0?
16
0
12
4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of conic section is represented by the equation if the discriminant is greater than zero?
Parabola
Circle
Ellipse
Hyperbola
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the angle of rotation calculated for the conic section?
By finding the discriminant
Using the formula tan(θ) = b / (a - c)
Using the formula tan(2θ) = (a - c) / b
By rewriting the equation in standard form
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle of rotation for the given conic section?
π/2
π/4
π/6
π/3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of a' after rotation?
4
3
2
1
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