TS EAMCET · Maths · Ellipse
If the equations \(x=1+2 \cos \theta, y=2+\sin \theta, 0 \leq \theta < 2 \pi\) represent an ellipse, then the point of intersection of the normal drawn at \(\mathrm{P}\left(\frac{\pi}{4}\right)\) to this ellipse and its major axis is
- A \(\left(\frac{4-\sqrt{3}}{4}, 0\right)\)
- B \(\left(\frac{\sqrt{3}+1}{4}, 0\right)\)
- C \(\left(\frac{8+\sqrt{3}}{2}, 0\right)\)
- D \(\left(\frac{5}{2}, 0\right)\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{4-\sqrt{3}}{4}, 0\right)\)
Step-by-step Solution
Detailed explanation
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