help me in this kind of question 82 &83
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9x^2+5y^2-30y=0
9x^2+5(y^2-6y)=0
9x^2+5(y^2-6y+9-9)=0
9x^2+5(y^2-6y+9)=45
x^2/5+(y^2-6y+9)/9=1
x^2/5 +(y-3)^2/9=1 Then it is ellipse along y axis. so x^/b^2+y^2/a^2=1.
b^2=5 and a^2=9.
1-e^2=b^2/a^2
=5/9
1-5/9=e^2
4/9=e^2
e=2/3 . I hope , this helps you.mark as brainliest ans.next question:(x-1)^2/4+(y+1)^2/3=1. latus rectum=2b^2/a=2×3)/2==3 option(1) is correct.
9x^2+5(y^2-6y)=0
9x^2+5(y^2-6y+9-9)=0
9x^2+5(y^2-6y+9)=45
x^2/5+(y^2-6y+9)/9=1
x^2/5 +(y-3)^2/9=1 Then it is ellipse along y axis. so x^/b^2+y^2/a^2=1.
b^2=5 and a^2=9.
1-e^2=b^2/a^2
=5/9
1-5/9=e^2
4/9=e^2
e=2/3 . I hope , this helps you.mark as brainliest ans.next question:(x-1)^2/4+(y+1)^2/3=1. latus rectum=2b^2/a=2×3)/2==3 option(1) is correct.
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