The point `(a ,2a)` is an interior point of the region bounded by the parabola `y^2=16 x` and the double ordinate through the focus. then find the values of `adot`

Options

A. `ain(-oo, 4)`
B. `ain(0, 4)`
C. `ain(0, 2)`
D. `ain(4, oo)`

Answer

B

Explanation

The queation of the double ordinate through the focus is x = 4. It is given that the point (a, 2a) is an interior point of `y^(2)-16x=0`.
`:." "2a^(2)-16alt0rArra^(2)-4alt0rArrain(0, 4)" …(ii)"`
The point (a, 2a) will lie in the region bounded by the double rodinate and the parabola, if the origin and (a, 2a) lie on the same side of x = 4.
From (i) and (ii), we obtain `a in(0, 4)`