Find the Vertices and Foci of the Ellipse $$4 x ^ { 2 } + 25 y ^ { 2 } = 100$$

question 107

Multiple Choice

Find the vertices and foci of the ellipse.
- $$4 x ^ { 2 } + 25 y ^ { 2 } = 100$$

• A) Vertices: \(( \pm 5,0 )\); Foci: \(( \pm \sqrt { 21 } , 0 )\)
• B) Vertices: \(( 0 , \pm 2 )\); Foci \(( 0 , \pm \sqrt { 21 } )\)
• C) Vertices: \(( \pm 2,0 )\); Foci: \(( \pm \sqrt { 21 } , 0 )\)
• D) Vertices: \(( 0 , \pm 5 )\); Foci \(( 0 , \pm \sqrt { 21 } )\)

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Definitions:

Visual Unparallelism

A lack of alignment or symmetry in visual elements, potentially leading to visual discomfort or confusion. This term may not be standard.

Informal Balance

A state of equilibrium in which elements are arranged non-symmetrically but still achieve a harmonious composition.

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