Explanation Given: The length of horizontal major axis 2 a as 6 and the eccentricity e as 2 3 Formula used: x 2 a 2 + y 2 b 2 = 1 where ( a > b > 0 ) with vertices ( ± a , 0 ) , foci ( ± c , 0 ) , end points of minor axis ( 0 , ± b ) also c 2 = a 2 − b 2 and c ≥ 0 . Calculation: We have the standard equation of the ellipse with center at the origin as x 2 a 2 + y 2 b 2 = 1 ( a > b > 0 ) − − − − − − ( 1 ) It is given that 2 a = 6 ⇒ a = 3 and e = 2 3 . We know that e = c a ⇒ c = a e − − − − − − ( 2 ) , Putting the values of a and e in the above equation ( 2 ) we get, c = a e c = 3 × 2 3

18th Edition

ISBN: 9780135962886

Author: Rockswold

Publisher: PEARSON CO

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 7.2, Problem 31E

To determine

The standard equation of ellipse.

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Chapter 7.2, Problem 30E

Chapter 7.2, Problem 32E

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Headlight A headlight is being constructed in...Ch. 7.1 - Solar Heater A solar heater is being designed to...Ch. 7.1 - Solar Heater If the figure in Exercise 99 is...Ch. 7.1 - Prob. 101E Ch. 7.1 - Prob. 102E Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63E Ch. 7.2 - Prob. 64E Ch. 7.2 - Prob. 65E Ch. 7.2 - Exercises 65-70: (Refer to Example 8). Write the...Ch. 7.2 - Prob. 67E Ch. 7.2 - Prob. 68E Ch. 7.2 - Exercises 65-70: (Refer to Example 8). Write the...Ch. 7.2 - Prob. 70E Ch. 7.2 - Prob. 71E Ch. 7.2 - Prob. 72E Ch. 7.2 - Prob. 73E Ch. 7.2 - Prob. 74E Ch. 7.2 - Prob. 75E Ch. 7.2 - Prob. 76E Ch. 7.2 - Prob. 77E Ch. 7.2 - Prob. 78E Ch. 7.2 - Prob. 79E Ch. 7.2 - Prob. 80E Ch. 7.2 - Prob. 81E Ch. 7.2 - Prob. 82E Ch. 7.2 - Prob. 83E Ch. 7.2 - Prob. 84E Ch. 7.2 - Prob. 85E Ch. 7.2 - Prob. 86E Ch. 7.2 - Prob. 87E Ch. 7.2 - Prob. 88E Ch. 7.2 - Prob. 89E Ch. 7.2 - Prob. 90E Ch. 7.2 - Prob. 91E Ch. 7.2 - Prob. 92E Ch. 7.2 - Prob. 93E Ch. 7.2 - Prob. 94E Ch. 7.2 - Prob. 95E Ch. 7.2 - Prob. 96E Ch. 7.2 - Prob. 97E Ch. 7.2 - Prob. 98E Ch. 7.2 - Prob. 99E Ch. 7.2 - Prob. 100E Ch. 7.2 - Prob. 101E Ch. 7.2 - Prob. 102E Ch. 7.2 - Prob. 103E Ch. 7.2 - Prob. 104E Ch. 7.2 - 99. 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