Given : A circle, $$2{x^2} + 2{y^2} = 5$$ and a parabola, $${y^2} = 4\sqrt 5 x$$.
Statement-1 : An equation of a common tangent to these curves is $$y = x + \sqrt 5 $$.
Statement-2 : If the line, $$y = mx + {{\sqrt 5 } \over m}\left( {m
e 0} ight)$$ is their common tangent, then $$m$$ satiesfies $${m^4} - 3{m^2} + 2 = 0$$.

Question

Given : A circle, $$2{x^2} + 2{y^2} = 5$$ and a parabola, $${y^2} = 4\sqrt 5 x$$. 
Statement-1 : An equation of a common tangent to these curves is $$y = x + \sqrt 5 $$.
Statement-2 : If the line, $$y = mx + {{\sqrt 5 } \over m}\left( {m 
e 0} ight)$$ is their common tangent, then $$m$$ satiesfies $${m^4} - 3{m^2} + 2 = 0$$.

Accepted Answer

Correct answer: B

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