Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 9.4, Problem 18MCQ
To determine

To find: The coordinates of the centre and foci and the length of the major and minor axis for the given ellipse.

Expert Solution & Answer
Check Mark

Answer to Problem 18MCQ

The coordinates of the centre and foci are (1,2) and (3,2),(5,2) , the length of the major axis is 45unit , and the length of the minor axis is 4unit .

Explanation of Solution

Given information:

The equation of the ellipse is,

  (x1)220+(y+2)24=1

Concept used:

Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,

  (xh)2a2+(yk)2b2=1

The coordinate of the foci is (h±c,k)

The value of c is calculated as,

  c=a2b2

The vertices are at (h±a,k) and the co-vertices are at (h,k±b) .

Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,

  (yk)2a2+(xh)2b2=1

The coordinate of the foci is (h,k±c)

The vertices are at (h,k±a) and the co-vertices are at (h±b,k) .

The value of c is calculated as,

  c=a2b2

Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,

  (xh)2a2+(yk)2b2=1

Compare the given equation with the standard form of the equation to obtain,

  h=1k=2a2=20a=25

  b2=4b=2

The length of the major axis is calculated as,

  2a=2×252a=45unit

The length of the minor axis is calculated as,

  2b=2×22b=4unit

The value of c is calculated as,

  c=a2b2=204=4unit

The coordinate of the foci is calculated as,

  (h±c,k)=(1±4,2)=(3,2),(5,2)

Consider the following graph of the ellipse,

  Glencoe Algebra 2 Student Edition C2014, Chapter 9.4, Problem 18MCQ

Thus, the coordinates of the centre and foci are (1,2) and (3,2),(5,2) , the length of the major axis is 45unit , and the length of the minor axis is 4unit .

Chapter 9 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10PPSCh. 9.1 - Prob. 11PPSCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42HPCh. 9.1 - Prob. 43HPCh. 9.1 - Prob. 44HPCh. 9.1 - Prob. 45HPCh. 9.1 - Prob. 46HPCh. 9.1 - Prob. 47STPCh. 9.1 - Prob. 48STPCh. 9.1 - Prob. 49STPCh. 9.1 - Prob. 50STPCh. 9.1 - Prob. 51SRCh. 9.1 - Prob. 52SRCh. 9.1 - Prob. 53SRCh. 9.1 - Prob. 54SRCh. 9.1 - 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Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40HPCh. 9.4 - Prob. 41HPCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47STPCh. 9.4 - Prob. 48STPCh. 9.4 - Prob. 49STPCh. 9.4 - Prob. 50STPCh. 9.4 - Prob. 51SRCh. 9.4 - Prob. 52SRCh. 9.4 - Prob. 53SRCh. 9.4 - Prob. 54SRCh. 9.4 - Prob. 55SRCh. 9.4 - Prob. 56SRCh. 9.4 - Prob. 57SRCh. 9.4 - Prob. 58SRCh. 9.4 - Prob. 59SRCh. 9.4 - Prob. 60SRCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SCh. 9.4 - Prob. 66SCh. 9.4 - Prob. 67SCh. 9.4 - Prob. 1MCQCh. 9.4 - Prob. 2MCQCh. 9.4 - Prob. 3MCQCh. 9.4 - Prob. 4MCQCh. 9.4 - Prob. 5MCQCh. 9.4 - Prob. 6MCQCh. 9.4 - Prob. 7MCQCh. 9.4 - Prob. 8MCQCh. 9.4 - Prob. 9MCQCh. 9.4 - Prob. 10MCQCh. 9.4 - Prob. 11MCQCh. 9.4 - Prob. 12MCQCh. 9.4 - Prob. 13MCQCh. 9.4 - Prob. 14MCQCh. 9.4 - Prob. 15MCQCh. 9.4 - Prob. 16MCQCh. 9.4 - Prob. 17MCQCh. 9.4 - Prob. 18MCQCh. 9.4 - Prob. 19MCQCh. 9.4 - Prob. 20MCQCh. 9.5 - Prob. 1GPCh. 9.5 - Prob. 2GPCh. 9.5 - Prob. 3GPCh. 9.5 - Prob. 4GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44HPCh. 9.5 - Prob. 45HPCh. 9.5 - Prob. 46HPCh. 9.5 - Prob. 47HPCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50STPCh. 9.5 - Prob. 51STPCh. 9.5 - Prob. 52STPCh. 9.5 - Prob. 53STPCh. 9.5 - Prob. 54SRCh. 9.5 - Prob. 55SRCh. 9.5 - Prob. 56SRCh. 9.5 - Prob. 57SRCh. 9.5 - Prob. 58SRCh. 9.5 - Prob. 59SRCh. 9.5 - Prob. 60SRCh. 9.5 - Prob. 61SRCh. 9.5 - Prob. 62SRCh. 9.5 - Prob. 63SRCh. 9.5 - Prob. 64SRCh. 9.5 - Prob. 65SRCh. 9.5 - Prob. 66SCh. 9.5 - Prob. 67SCh. 9.6 - Prob. 1GPCh. 9.6 - Prob. 2AGPCh. 9.6 - Prob. 2BGPCh. 9.6 - Prob. 2CGPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41PPSCh. 9.6 - Prob. 42PPSCh. 9.6 - Prob. 43PPSCh. 9.6 - Prob. 44HPCh. 9.6 - Prob. 45HPCh. 9.6 - Prob. 46HPCh. 9.6 - Prob. 47HPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - 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