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A tangent is drawn to y^2=24x at (alpha,...

A tangent is drawn to `y^2=24x` at `(alpha,beta)` which is perpendicular to `2x+2y=7`. Then the equation of normal to hyperbola `x^2/alpha^2-y^2/beta^2=1` at `(alpha+4,beta+4)` is :

A

`2x+5y=100`

B

`2x-5y=100`

C

`2x+5y=10`

D

`2x-5y=10`

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