Mathematics · 2015
JEE Main · 10 April 2015, Shift 1 · Q83
If the points (1,1, λ) and (-3, 0, 1) are equidistant from the plane, 3 x+4 y-12 z+13=0, then λ satisfies the equation:
If the points $\displaystyle (1,1, \lambda)$ and (-$\displaystyle 3$, $\displaystyle 0$, $\displaystyle 1$) are equidistant from the plane, $\displaystyle 3 x+4 y-12 z+13=0$, then $\displaystyle \lambda$ satisfies the equation :
Official answer
(1)
$\displaystyle 3 x^2-10 x+7=0$
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.