Parametric Equations

Concept Quizzes

Parametric Equations - Graphing
Parametric Equations Problem Solving

Challenge Quizzes

Parametric Equations: Level 2 Challenges

Parametric Equations - Graphing

Which of the following is the curve defined by the parametric equations $x=4\sin t, \quad y=8\cos t \ ?$

(A) (B) (C) (D)

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by Brilliant Staff

If $(a,b)$ is the center and $r$ is the radius of the circle defined by the parametric equations $x=6\cos 6t, \quad y=6\sin 6t, \quad 0 \leq t \leq 2\pi,$ what is the value of $a+b+r$ ?

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by Brilliant Staff

Which of the following is the curve defined by the parametric equations $x=6\sin t, \quad y=5\sin^2 t ?$

(A) (B) (C) (D)

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by Brilliant Staff

What shape does the following parametric equation describe:

$x = 3 \cos ^2 \theta, y = 6 \sin^2 \theta.$

ellipse A line segment parabola Straight line

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by Brilliant Staff

Consider the ellipse defined by the parametric equations $x=12\cos t, \quad y=4\sin t,$ where $0 \leq t \leq 2\pi$ . If the length of the major axis is $a$ and the length of the minor axis is $b$ , what is the value of $a+b$ ?

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by Brilliant Staff

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