TS EAMCET · Maths · Ellipse
If \(m\) is the length of the latus rectum and \(n\) is the length of the major axis of the ellipse \(25 x^2+16 y^2-150 x-64 y-111=0\), then the ordered pair \((m, n)=\)
- A \(\left(\frac{16}{5}, 10\right)\)
- B \(\left(\frac{32}{5}, 10\right)\)
- C \(\left(\frac{25}{2}, 8\right)\)
- D \(\left(\frac{25}{4}, 8\right)\)
Answer & Solution
Correct Answer
(B) \(\left(\frac{32}{5}, 10\right)\)
Step-by-step Solution
Detailed explanation
Given equation of ellipse is \(25 \mathrm{x}^2+16 \mathrm{y}^2-150 \mathrm{x}-\) \(64 \mathrm{y}-111=0\) On arranging it we get,…
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