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Statement-1: The ellipses x²/16 + y²/9 = 1 and x²/9 + y²/16 = 1 are congruent. Statement-2: The ellipses x²/16 + y²/9 = 1 and x²/9 + y²/16 = 1 have the same eccentricity. Choose the correct option.

1. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
2. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
3. Statement-1 is True, Statement-2 is False.
4. Statement-1 is False, Statement-2 is True.

Correct answer: Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Solution

Both ellipses have semi-axes 4 and 3, so they are congruent and have the same eccentricity; but equal eccentricity alone does not guarantee congruence, so Statement-2 is not the correct explanation.

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