If X2y2 = 4(xy-1), then prove that X and y very inversely with each other.
Answer :
We have : x2y2 = 4 ( xy - 1 )
x2y2 = 4 xy - 4
x2y2 - 4 xy + 4 = 0
x2y2 + 22 - 2 ( 2 ) ( xy ) = 0
( x y - 2 ) 2 = 0
x y - 2 = 0
x y = 2
x = ----- ( 1 )
So, From equation 1 we can say " x and y very inversely with each other. " ( Prove that )
We have : x2y2 = 4 ( xy - 1 )
x2y2 = 4 xy - 4
x2y2 - 4 xy + 4 = 0
x2y2 + 22 - 2 ( 2 ) ( xy ) = 0
( x y - 2 ) 2 = 0
x y - 2 = 0
x y = 2
x = ----- ( 1 )
So, From equation 1 we can say " x and y very inversely with each other. " ( Prove that )