`(x/y+y/x)` और `sqrt(x^(2)+y^(2))` का तृतीयानुपाती क्या है?

Options

A. `xy`
B. `sqrt(xy)`
C. `root(3)(xy)`
D. `root(4)(xy)`

Answer

A

Explanation

Third proportional of a and b
`=(b^(2))/a`
Third proportional `(x/y+y/x)` and `sqrt(x^(2)+y^(2))`
`((sqrt(x^(2)+y^(2)))^(2))/(x/y+y/x)=(x^(2)+y^(2))/((x^(2)+y^(2))/(xy))=xy`