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Find the eccentricity of the ellipse ?

  1. 1
  2. 2/3
  3. 3/5
  4. 4/5

Answer (Detailed Solution Below)

Option 3 : 3/5
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Detailed Solution

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Concept:

Ellipse:

Equation

 (a > b)

 (a < b)

Equation of Major axis

y = 0

x = 0

Equation of Minor axis

x = 0

y = 0

Length of Major axis

2a

2b

Length of Minor axis

2b

2a

Vertices

(± a, 0)

(0, ± b)

Focus

(± ae, 0)

(0, ± be)

Directrix

x = ± a/e

y = ± b/e

Center

(0, 0)

(0, 0)

Eccentricity

 

Calculation:

Given:

Compare with the standard equation 

So, a2 = 16 and b2 = 25 ⇔ a = 4 and b = 5 (b > a)

So, eccentricity =

=

= 3/5

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-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

-> Interested candidates had applied online from 13th March to 25th April 2025.

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