AP EAMCET · Maths · Parabola
If the point \((a, 2 a)\) is an interior point of the region bounded by the parabola \(y^2=16 x\) and the double ordinate through focus, then
- A \(a < 4\)
- B \(0 < a < 4\)
- C \(0 < a < 2\)
- D \(a>4\)
Answer & Solution
Correct Answer
(B) \(0 < a < 4\)
Step-by-step Solution
Detailed explanation
Given parabola, \(y^2=16 x\) ...(i) Comparing with \(y^2=4 p x\) \(\therefore\) Focus \(S=(4,0)\) \(\because P(a, 2 a)\) is in interior region of the parabola \(y^2-16 x=0\) \(\therefore \quad(2 a)^2-16 a < 0\) \(\Rightarrow \quad a^2-4 a < 0\) Also \((a, 2 a)\) and vertex…
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