Discussion Forum

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?

Answer:

Explanation:

Equation of chord with mid point (h,k)

  T=s₁

yk - 8x - 8h = k² - 16h

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

$\because$   2x + y = p

$\because$  k = -4   and p =  2h-4