Mathematics · 2019
JEE Main · 12 January 2019, Shift 1 · Q79
If a variable line, 3 x+4 y-λ=0 is such that the two circles x^2+y^2-2 x-2 y+1=0 and x^2+y^2-18 x-2 y+78=0 are on its opposite sides, then the set of…
If a variable line, $\displaystyle 3 x+4 y-\lambda=0$ is such that the two circles $\displaystyle x^2+y^2-2 x-2 y+1=0$ and $\displaystyle x^2+y^2-18 x-2 y+78=0$ are on its opposite sides, then the set of all values of $\displaystyle \lambda$ is the interval:
Official answer
(4)
[$\displaystyle 12$, $\displaystyle 21$]
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.