Joni Kenny

2020-11-09

What is the eccentricity of a conic section? How can you classify conic sections by eccentricity? How does eccentricity change the shape of ellipses and hyperbolas?

hosentak

Skilled2020-11-10Added 100 answers

Step 1 Any conic section may be described as the collection of points with constant ratios between their distances to the focus and directrix. The eccentricity of the conic section, sometimes abbreviated as e, is the name given to that ratio. Step 2 An ellipse that is not a circle has an eccentricity (e) that is larger than zero but less than 1. If $e=1$ then it is Parabola. If $e>1$ then comes a hyperbola [A hyperbola's eccentricity has no upper limit and can be any real value larger than 1. A rectangular hyperbola's eccentricity $\sqrt{2}0$. If $e=0$ suddenly Circle appears. Step 3 An ellipse's eccentricity is almost zero if it is almost circular. An ellipse has a high degree of ovalness if its eccentricity is close to one. A conic section's eccentricity indicates how near it comes to having a circular form. The form resembles a circle less and less when the eccentricity of a conic section deviates from 0. A compressed circle resembles an ellipse. The closest analog to a circle among the other two conic forms is this one. A parabola would be the next closest shape to a circle, while a hyperbola would be the furthest, according to same reasoning.

The distance between the centers of two circles C1 and C2 is equal to 10 cm. The circles have equal radii of 10 cm.

A part of circumference of a circle is called

A. Radius

B. Segment

C. Arc

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What are the coordinates of the center and the length of the radius of the circle represented by the equation ${x}^{2}+{y}^{2}-4x+8y+11=0$?

Which of the following pairs of angles are supplementary?

128,62

113,47

154,36

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An angle which measures 89 degrees is a/an _____.

right angle

acute angle

obtuse angle

straight angleHerman drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Trapezium

Parallelogram

Square

RectangleWhich quadrilateral has: All sides equal, and opposite angles equal?

Trapezium

Rhombus

Kite

RectangleKaren says every equilateral triangle is acute. Is this true?

Find the number of lines of symmetry of a circle.

A. 0

B. 4

C. 2

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A. 0

B. 1

C. 2

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A quadrilateral whose diagonals are unequal, perpendicular and bisect each other is called a.

A. rhombus

B. trapezium

C. parallelogram