Ellipses

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Questions and Answers

What is the eccentricity of a circle?

  • 1
  • 0.5
  • 0 (correct)
  • 2

What is the limiting case of infinite elongation for an ellipse?

  • Hyperbola
  • Oval
  • Circle
  • Parabola (correct)

What are the coordinates of the foci of a standard ellipse centered at the origin with width $2a$ and height $2b$?

  • $(\pm c, 0)$ for $c = \sqrt{a^2 + b^2}$
  • $(\pm a, 0)$ for $c = \sqrt{a^2 + b^2}$
  • $(\pm c, 0)$ for $c = \sqrt{a^2 - b^2}$ (correct)
  • $(\pm b, 0)$ for $c = \sqrt{a^2 - b^2}$

What type of curve does an ellipse generalize?

<p>Circle (A)</p> Signup and view all the answers

What is the range of eccentricity for an ellipse?

<p>0 to 1 (D)</p> Signup and view all the answers

What does the periodic table depict?

<p>Arrangement of chemical elements into rows and columns (B)</p> Signup and view all the answers

What does the periodic law state?

<p>An approximate recurrence of properties of elements when arranged by atomic numbers (D)</p> Signup and view all the answers

What characterizes the periodic table?

<p>Vertical, horizontal, and diagonal trends (C)</p> Signup and view all the answers

What happens to metallic character down a group in the periodic table?

<p>Increases (D)</p> Signup and view all the answers

Who formulated the first generally accepted periodic table?

<p>Dmitri Mendeleev (C)</p> Signup and view all the answers

What is the eccentricity of a circle?

<p>$0$ (D)</p> Signup and view all the answers

What are the coordinates of the foci for a standard ellipse centered at the origin?

<p>$(\pm c, 0)$ (C)</p> Signup and view all the answers

What is the limiting case of infinite elongation for an ellipse?

<p>A parabola (D)</p> Signup and view all the answers

What is the equation of a standard ellipse with width $2a$ and height $2b$?

<p>$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ (C)</p> Signup and view all the answers

What type of solution does an ellipse have for its perimeter?

<p>Only approximations (B)</p> Signup and view all the answers

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