1.

If a chord, which is not a tangent of the parabola `y^2=16 x`has the equation `2x+y=p ,`and midpoint `(h , k),`then which of the following is(are) possible values (s) of `p , ha n dk ?``p=-1,h=1,k=-3``p=2, h=3, k=-4``p=-2, h=2, k=-4``p=5, h=4, k=-3`

Answer» Parabola,`y^2-16x=0` equation of chord.`2x+y=p`
The equation of chord at given middle point(h,k) to the parabola
`T=s_1`
`ky-8(x+h)=k^2-16h`
`ky-8x+8h-k^2=0`
`2x+y-p=0`
`-8/2=k/1=(8h-k^2)/(-p)`
`2k=-8`
`k=-4`
`(-4)/(-1)=(8h-16)/(-p)`
`4p-8h=16`
`p-2h=-4-(1)`
So, correct option is B.


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