JEE Advanced · Mathematics · 14. Ellipse
Paragraph:
Tangents are drawn from the point \(P(3,4)\) to the ellipse \(\frac{x^2}{9}+\frac{y^2}{4}=1\) touching the ellipse at points \(A\) and \(B\).Question:
The coordinates of \(A\) and \(B\) are
- A
\((3,0)\) and \((0,2)\)
- B
\(\left(-\frac{8}{5}, \frac{2 \sqrt{161}}{15}\right)\) and \(\left(-\frac{9}{5}, \frac{8}{5}\right)\)
- C
\(\left(-\frac{8}{5}, \frac{2 \sqrt{161}}{15}\right)\) and \((0,2)\)
- D
\((3,0)\) and \(\left(-\frac{9}{5}, \frac{8}{5}\right)\)
Answer & Solution
Correct Answer
(D)
\((3,0)\) and \(\left(-\frac{9}{5}, \frac{8}{5}\right)\)
Step-by-step Solution
Detailed explanation
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