JEE Main 2024 (27 January Evening Shift)

Question

Let $R$ be the interior region between the lines $3x - y + 1 = 0$ and $x + 2y - 5 = 0$ containing the origin. The set of all values of $a$, for which the points $(a^2,\,a+1)$ lie in $R$, is:

Accepted Answer

$(-3,0)\cup\left(\dfrac{1}{3},1\right)$

Answer

$(-3,0)\cup\left(\dfrac{2}{3},1\right)$

Answer

$(-3,-1)\cup\left(\dfrac{1}{3},1\right)$

Answer

$(-3,-1)\cup\left(-\dfrac{1}{3},1\right)$

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