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Statement 1: An equation of a common tan...

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

A

Statement 1 is false, statement 2 is true.

B

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

C

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

D

Statement 1 is true, statement 2 is false.

Text Solution

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The correct Answer is:
B
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