Conic Sections Question 283

Question: The point $ (a,2a) $ is an interior point of region bounded by the parabola $ x^{2}=16y $ and the double ordinate through focus then

Options:

A) a<4

B) 0<a<4

C) 0<a<2

D) a>4

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Parabola $ x^{2}=16y, $ axis is the y-axis, focus $ =(0,4) $ It is clear if point $ P(a,2a) $ lies interior region then ordinate $ \in (0,4)\Rightarrow 0<2a<4\Rightarrow 0<a<2 $



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