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Mathematics · 2021

JEE Main · 26 February 2021, Shift 2 · Q90

Let L be a common tangent line to the curves 4 x^2+9 y^2=36 and (2 x)^2+(2 y)^2=31. Then the square of the slope of the line L is \ \ \ \.

Let L be a common tangent line to the curves $\displaystyle 4 x^2+9 y^2=36$ and $\displaystyle (2 x)^2+(2 y)^2=31$. Then the square of the slope of the line L is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.