Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q62
The set of all values of k>-1, for which the equation (3 x^2+4 x+3)^2-( k +1)(3 x^2+4 x+3)(3 x^2+4 x+2)+ k (3 x^2+4 x+2)^2=0 has real roots, is:
The set of all values of $\displaystyle k>-1$, for which the equation $\displaystyle \left(3 x^2+4 x+3\right)^2-(\mathrm{k}+1)\left(3 x^2+4 x+3\right)\left(3 x^2+4 x+2\right)+\mathrm{k}\left(3 x^2+4 x+2\right)^2=0$ has real roots, is :
Official answer
(1)
$\displaystyle \left(1, \frac{5}{2}\right]$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.