0

Guest

Courses New

if | z – 4 | + | z – [12/5] | = 10 represents an ellipse , then what is its eccentricity?

if  | z – 4 | + | z – [12/5] | = 10 
represents an ellipse , then what is its eccentricity?
 
 

Grade:12

1 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
8 years ago
I am assuming that [12/5] is the greatest integer function, which will change the equation to
|z-4| + |z-2| = 10
Now Interpreting this as an ellipse is simple, basically the equation can be interpreted as the locus of a point in complex plane whose sum of distance from the points (4,0) and (2,0) is 10. This is the definition of an ellipse with focii as (4,0) and (2,0) and
2a = 10 thus a = 5 (semi-major axis). And distance between focii is 2ae = 2 adn hence
e = 1/a = 1/5

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More