Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 20-2-2020

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

19.7 K+

900+

Text Solution

`((x-1)^(2))/(8)+((Y-2)^(2))/(9)=9` `((x-2)^(2))/(8)+((Y-1)^(2))/(9)=9` `((x-1)^(2))/(9)+((Y-2)^(2))/(8)=9` `((x-2)^(2))/(9)+((Y-2)^(2))/(8)=9`

Answer :

BSolution :

the centre of the ellipse is at the mid point of its foci . So coordinates of centre are (2,1) <br> clearly , two foci lie on the line x=2 So, major axis is parallel to y-axis . <br> the distance between two foci is 6. <br> `therefore 2be =6implies (2b)/(3)=6implies b=9[:' e=(1)/(2)(" given")]` <br> Now,` a^(2)=b^(2)(1-e^(2))implies a^(2)=81(1-(1)/(9) )=72` <br> hence , the equation of the ellipse is `((x-2)^(2))/(72)+((y-1)^(2))/(81)=1`.