Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four points , Three of them are `(2,2) , (4,1)` and `( 6, 2//3) ` then coordinates of the fouth points are `(1//4 , 16 )`
Statement 2: If a circle S=0 intersects a hyperbola `xy= c ^(2) ` at `t_1, t_2, t_3 , t_4 ` then ` t_1.t_2.t_3.t_4= 1. ` Then correct statement is

Options

A. Both the statement are True and II is the correct explanation of I
B. Both the statement are True but Statement II is Not the correct explanation of Statement I.
C. statement -I is True and Statement -II is False
D. statement -I is False and statement -II is True

Answer

D