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Straight Lines and Pair of Straight Lines question

2024 · 27 Jan · Shift 2 · Q45

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Straight Lines and Pair of Straight Lines
2024 · 27 Jan · Shift 2 · Q45

Straight Lines and Pair of Straight Lines question

2024 · 27 Jan · Shift 2 · Q45

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

Let

\mathrm{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 :

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

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