JEE Advanced Mathematics question

If is a point interior to the hyperbola but exterior to its conjugate hyperbola then the number of positive integral values of is

(A)3Correct
(B)2
(C)1
(D)4

Answer: (A)

Solution

Write (hyperbola) and (conjugate). Following the book's convention, "interior to the hyperbola" means and "exterior to the conjugate" means — together, the point lies in the region between the two curves that contains the centre $(1,

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Question ID VK-110402