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Given : A circle, 2x 2 + 2y 2 = 5 and a parabola, y 2 = 4 5 x. Statement-I : An equation of a common tangent to these curves is y = x + 5 . Statement-II : If the line, y = mx + m 5 (m ≠ 0) is their common tangent, then m satisfies m 4 – 3m 2 + 2 = 0,

1. Statement-I is true; Statement-II is false.
2. Statement-I is false; Statement-II is true.
3. Statement-I is true; Statement-II is true; Statement-II is a correct explanation for Statement-I.
4. Statement-I is true; Statement-II is true; Statement-II is not a correct explanation for Statement-I.

Correct answer: Statement-I is true; Statement-II is true; Statement-II is not a correct explanation for Statement-I.

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