Conic Sections Question 403

Question: The one which does not represent a hyperbola is

[MP PET 1992]

Options:

A) $ xy=1 $

B) $ x^{2}-y^{2}=5 $

C) $ (x-1)(y-3)=3 $

D) $ x^{2}-y^{2}=0 $

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Answer:

Correct Answer: D

Solution:

For hyperbola $ \Delta \ne 0 $ and $ h^{2}>ab $ . Here $ \Delta =0 $ .