AP EAMCET · Maths · Parabola
The largest value of \(k\) for which the circle \(x^2+y^2=k^2\) lies completely in the interior of the parabola \(y^2=4 x+16\) is
- A \(4 \sqrt{3}\)
- B \(2 \sqrt{3}\)
- C \(2 \sqrt{6}\)
- D \(4 \sqrt{6}\)
Answer & Solution
Correct Answer
(B) \(2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Given, parabola is \(y^2=4 x+16\) \[ y^2=4(x+4) \] Let parametric point on parabola be \(\left(t^2-4,2 t\right)\) distance \(O P \leq k\)…
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