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If `x ,y in R ,`satisfies the equation `((x-4)^2)/4+(y^2)/9=1`, then the difference between the largest and the smallest valus of theexpression `(x^2)/4+(y^2)/9`is_____ |
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Answer» Correct Answer - 8 `x-4=2costheta,y=sintheta` `implies(x^(2))/4+(y^(2))/9=((2costheta+4)^(2))/4+(9sin^(2)theta)/9` `=(costheta+2)^(2)+sin^(2)theta=5+4costhetaepsilon[1,9]` |
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