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Mathematics · 2022

JEE Main · 27 July 2022, Shift 1 · Q29

If the length of the latus rectum of the ellipse x^2+4 y^2+2 x+8 y-λ=0 is 4, and l is the length of its major axis, then λ+l is equal to \ \ \ \.

If the length of the latus rectum of the ellipse $\displaystyle x^2+4 y^2+2 x+8 y-\lambda=0$ is $\displaystyle 4$ , and $\displaystyle l$ is the length of its major axis, then $\displaystyle \lambda+l$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.