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Q.

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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a

Statement-I is True and Statement-II is False

b

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

c

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

d

Statement-I is False and Statement-II is True

answer is B.

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Detailed Solution

Statement-I :Since given asymptotes are perpendicular to each other  so hyperbola is rectangular hyperbola . In rectangular hyperbola asymptotes are bisectors of transverse and conjugate axes Statement-I is true  By conceptual  statement 2 is also true but II is not the correct explanation of I.

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