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If a chord, which is not a tangent of th...

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` , `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

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of chord with mid-point (h,k)
`T = S_(1)`
`yk - 8x - 8h = k^(2) - 1h`
`2x = (yk)/(4) = 2h - (k^(2))/(4)`
`:' 2x + y = p`
`:. K = - 4` and `p = 2 h - 4`
Where h = 3
`p = 2 xx 3 - 4 = 2`
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