Statement 1: An equation of a common tangent to the parabola `y^(2) =16 sqrt3 x ` and the ellipse ` 2x^(2) +y^(2) =4 is y= 2x +2sqrt3`.
Statement 2: If the line `y= mx+ ( 4sqrt3)/( m ) , (m ne 0)` is a common tangent to the parabola ` y^(2)= 16 sqrt3x` and the ellipse `2x^(2) +y^(2) =4, ` then m satisfies ` m^(4) +2m^(2) =24.`

Options

A. Both the statement are True and statement 2 is the correct explanation of statement 1
B. Both the statement are True but Statement 2 is Not the correct explanation of Statement 1
C. Statement 1 is true and Statement 2 is false
D. Statement 1 is false and statement 2 is true.

Answer

B