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Given : A circle, 2x^2+""2y^2=""5 and a ...

Given : A circle, `2x^2+""2y^2=""5` and a parabola, `y^2=""4sqrt(5)""x` . Statement - I : An equation of a common tangent to these curves is `y="x+"sqrt(5)` Statement - II : If the line, `y=m x+(sqrt(5))/m(m!=0)` is their common tangent, then m satisfies `m^4-3m^2+""2""=0.` (1) Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I (2) Statement -I is True; Statement -II is False. (3) Statement -I is False; Statement -II is True (4) Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

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