1)

If a chord, which is not a tangent of the parabola y2=16x  has the equation 2x+y=p, and mid-point (h,k) then which of the following is(are) possible value (s) of p,h, and k?


A) p=-1,h=1,k=-3

B) p=2,h=3, k=-4

C) p=-2,h=2,k=-4

D) p=5,h=4,k=-3

Answer:

Option B

Explanation:

Equation of chord with mid point (h,k)

  T=s1

yk - 8x - 8h = k- 16h

$2x-\frac{yk}{4}=2h-\frac{k^{2}}{4}$

$\because$   2x + y = p

$\because$  k = -4   and p =  2h-4