MathematicsHard128×since 2002Q5585Let R\mathrm{R}R be the interior region between the lines 3x−y+1=03 x-y+1=03x−y+1=0 and x+2y−5=0x+2 y-5=0x+2y−5=0 containing the origin. The set of all values of aaa, for which the points (a2,a+1)\left(a^2, a+1\right)(a2,a+1) lie in RRR, is :A(−3,0)∪(23,1)(-3,0) \cup\left(\frac{2}{3}, 1\right)(−3,0)∪(32,1)B(−3,0)∪(13,1)(-3,0) \cup\left(\frac{1}{3}, 1\right)(−3,0)∪(31,1)C(−3,−1)∪(13,1)(-3,-1) \cup\left(\frac{1}{3}, 1\right)(−3,−1)∪(31,1)D(−3,−1)∪(−13,1)(-3,-1) \cup\left(-\frac{1}{3}, 1\right)(−3,−1)∪(−31,1)Check answerSkip