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tangent is drawn at point `P (x_1, y_1)` on the hyperbola `x^2/4-y^2=1.` If pair of tangents are drawn from any point on this tangent to the circle `x^2+y^2=16` such that chords of contact are concurrent at the point `(x_2, y_2)` then

A

`x_(2)/x_(1) = 4`

B

`y_(2)/y_(1) = 16`

C

`y_(2)/y_(1) = - 16`

D

`(x_(2)/x_(1))^(2) + y_(2)/y_(1) = 0 `

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The correct Answer is:
A, C, D
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