Statement I : Asymptotes of hyperbola 3x+4y=2 and 4x–3y=5 are bisectors of transverse and conjugate axes of hyperbola
Statement II : Transverse and conjugate axes of hyperbola are bisectors of the asymptotes Then correct statement is

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Statement-I is True and Statement-II is False

Both the statements are True but II is not the correct explanation of I

Both the statements are True and II is the correct explanation of I

Statement-I is False and Statement-II is True

answer is B.

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Detailed Solution

$S t a t e m e n t - I : S i n c e g i v e n a s y m p t o t e s a r e p e r p e n d i c u l a r t o e a c h o t h e r s o h y p e r b o l a i s r e c \tan g u l a r h y p e r b o l a . I n r e c \tan g u l a r h y p e r b o l a a s y m p t o t e s a r e b i s e c t o r s o f t r a n s v e r s e a n d c o n j u g a t e a x e s ∴ S t a t e m e n t - I is true B y c o n c e p t u a l statement 2 is also t r u e but II is not the correct explanation of I .$