A) \[PG=P{{G}^{2}}\]
B) \[PG=PC\]
C) \[PG=Gg\]
D) \[PC=Cg\]
Correct Answer: B
Solution :
Let the equation of the rectangular hyperbola be \[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]. Let P be any point on the given rectangular hyperbola specified as (a \[\sec \,\theta \], a \[\tan \,\theta \]), then the equation of the normal to the hyperbola at P is \[x\,\sin \,\theta +y=2a\,\tan \,\theta \] which will intersect axes atYou need to login to perform this action.
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