ExamBro
ExamBro
TS EAMCET · Maths · Ellipse

The area (in square units) of the quadrilateral formed by joining the focii of the two ellipses x29+y25=1 and x25+y29=1 is

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

Answer & Solution

Correct Answer

(D) 8

Step-by-step Solution

Detailed explanation

Major axis of ellipse x29+y25=1 is x-axis. Major axis of ellipse x25+y29=1 is y-axis. Eccentricity, e=1-b2a2 =1-59 =  23 Focii of ellipse x29+y25=1 is ±ae,0 = ±2,0 Focii of ellipse x25+y29=1 is 0,±be = 0,±2 Quadrilateral…