JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Self Evaluation Test - Conic Sections
question_answer
The point \[(a,2a)\] is an interior point of region bounded by the parabola \[{{x}^{2}}=16y\] and the double ordinate through focus then
A)a<4
B)0<a<4
C)0<a<2
D)a>4
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 \[\in (0,4)\Rightarrow 0<2a<4\Rightarrow 0<a<2\]