TS EAMCET · Maths · Parabola
Normals are drawn from the point \(\mathrm{P}(8,0)\) to the parabola \(y^2=12 x\). If \(\theta\) is the acute angle between two nonhorizontal normals among them, then \(\tan \theta=\)
- A \(\frac{2 \sqrt{6}}{5}\)
- B \(2 \sqrt{6}\)
- C \(\frac{\pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(2 \sqrt{6}\)
Step-by-step Solution
Detailed explanation
\(y^2=12 x, a=3\) Equation of normal is \[ y=m x-2 a m-a m^3 \Rightarrow y=m x-6 m-3 m^3 \] \(\because(8,0)\) lies on normal…
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