Given A circle, 2x^{2} + 2y^{2}= 5 and parabola,
Statement I An equation of a common tangent to these curves is
Statement II If the line is the common tangent, then m satisfies m^{4}3m^{2}+2 =0

Statement I is true, Statement II is true; Statement II is a correct explanation for statement I

Statement I is true, Statement II is true; Statement II is not a correct explanation for statement I

Statement I is true, Statement II is false

Statement I is false, Statement II is true
B.
Statement I is true, Statement II is true; Statement II is not a correct explanation for statement I
Equation of circle can be rewritten as,
x2 +y2 = 5/2
Let common tangent be
The perpendicular from centre to the tangent is equal to radius,
therefore,
thus, both Statements are correct.