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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` |
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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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