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MCQMediumJEE Main 2024 · 27 January, Shift 2Straight Line Equations

Mathematics Question from JEE Main 2024 · 27 January, Shift 2

Let RR be the region between lines 3x−y+1=03x - y + 1 = 0 and x+2y−5=0x + 2y - 5 = 0 containing the origin. Find values of aa for which (a2,a+1)(a^2, a + 1) lie in RR:

  • A

    (−3,−1)∪(−13,1)(-3,-1) \cup \left(-\frac{1}{3},1\right)

  • B

    (−3,0)∪(13,1)(-3,0) \cup \left(\frac{1}{3},1\right)

  • C

    (−3,0)∪(23,1)(-3,0) \cup \left(\frac{2}{3},1\right)

  • D

    (−3,−1)∪(13,1)(-3,-1) \cup \left(\frac{1}{3},1\right)

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