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The point (a ,2a) is an interior point o...

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`

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P(a,2a) is in interior region of the parabola `y^(2)-16x=0` if
`(2a)^(2)-16alt0`
`ora^(2)-4alt0`
`rArr" "0ltalt4`

Now, double ordinate line through focus is x-4=0.
If (a,2a) lies to the left of x-4=0
`a-4lt0`
`oralt4`
From (1) and (2), `0ltalt4`.
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