If a chord, which is not a tangent, of the parabola \( \mathrm{y}^{...

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If a chord, which is not a tangent, of the parabola \( \mathrm{y}^{2}=16 \mathrm{x} \) has the equation \( 2 \mathrm{x}+\mathrm{y}=\mathrm{p} \), and midpoint \( (\mathrm{h}, \mathrm{k}) \), then which of the following is(are) possible value(s) of \( \mathrm{p}, \mathrm{h} \) and \( \mathrm{k} \) ?
\( \mathrm{P} \)
(A) \( \mathrm{p}=5, \mathrm{~h}=4, \mathrm{k}=-3 \)
(B) \( \mathrm{p}=-1, \mathrm{~h}=1, \mathrm{k}=-3 \)
(C) \( \mathrm{p}=-2, \mathrm{~h}=2, \mathrm{k}=-4 \)
(D) \( \mathrm{p}=2, \mathrm{~h}=3, \mathrm{k}=-4 \)
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