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TS EAMCET · Maths · Ellipse

If the eccentricity and the length of the latus rectum of an ellipse x2a2+y2b2=1 are 32 and 1 respectively, then the sum of the lengths of major axis and minor axis of the ellipse is

  1. A 6
  2. B 3
  3. C 10
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(A) 6

Step-by-step Solution

Detailed explanation

Given, Equation of ellipse x2a2+y2b2=1, eccentricity e=32 and length of latusrectum 2b2a=1 ...........1 Now we know that formula of eccentricity b2=a21-e2 so by using this we get b2a2=1-34=14 ........2 Now by solving equation 1 & 2 we get,…