For all positive values of x and y, the value of `((1+x+x^(2))(1+y+y^(2)))/(xy)`,isA. `le9`B. `lt9`C. `ge9`D. `gt9`

For all positive values of x and y, the value of `((1+x+x^(2))(1+y+y^(

1.	For all positive values of x and y, the value of `((1+x+x^(2))(1+y+y^(2)))/(xy)`,isA. `le9`B. `lt9`C. `ge9`D. `gt9`
Answer» Correct Answer - C Using `A.M.geG.M.`, we have `(x+(1)/(x)+1)/(3)ge(x xx(1)/(x)xx1)^(1//3)" and "(y+(1)/(y)+1)/(3)ge(yxx(1)/(y)xx1)^(1//3)` `implies" "(1+x+x^(2))/(3x)ge1" and "(1+y+y^(2))/(3y)ge1` `implies" "(1+x+x^(2))/(x)xx(1+y+y^(2))/(y)ge9` `implies" "((1+x+x^(2))(1+y+y^(2)))/(xy)ge9`

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For all positive values of x and y, the value of `((1+x+x^(2))(1+y+y^(2)))/(xy)`,isA. `le9`B. `lt9`C. `ge9`D. `gt9`
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