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Given :A circle 2x^(2) +2y^(2) =5 and ...

Given :A circle ` 2x^(2) +2y^(2) =5 ` and a parabola `y^(2) =4 sqrt5 x.`
Statement -I : an equation of a common tangent to these curves is `y=x+sqrt5.`
Statement -II - If the line, `y= mx+ ( sqrt5)/( m ) (mne0) ` is their common tangent ,then m satisfies `m^(4) -3m ^(2) +2=0 `

A

Statement -I is true , statement -II is false

B

Statement -I is false , Statement -II is true

C

Statement -I is true , Statement -II is true ,Statement -II is a correct explanation for Statement -I

D

Statement -I is true , Statement -II is true ,Statement -II is not a correct explanation for Statement -I

Text Solution

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The correct Answer is:
D
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