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If a focal chord of y ^(2)=16x is a tang...

If a focal chord of `y ^(2)=16x` is a tangent to `(x-6)^(2) +y^(2) =2,.` then the possible values of the slopes of the chord are-

A

`1/2, 2`

B

`-2, 1/2`

C

`1,-1`

D

`-1/2, 2`

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The correct Answer is:
C
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