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5y^(2)-9x^(2)=36

Answer»


Solution :GIVEN equation is`(y^(2))/((36//5))-(x^(2))/(4)=1.`
`thereforea^(2)=(36)/(5),b^(2)=4 and c^(2)=(a^(2)+b^(2))=((36)/(5)+4)=(56)/(5).`
Also `, e=( c)/(a)=((sqrt(56))/(sqrt(5))xx(sqrt(5))/(6))=(2sqrt(14))/(6)=(sqrt(14))/(3).`


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