Let R be the interior region | Straight Line | JEE MAIN 2024

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27-01-24 S2

Question

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

Select the correct option:

A

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

B

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

C

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

D

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

✓ Correct! Well done.

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