Test Academy | 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) lies in R is (−∞, −1)∪(3, ∞), (−3, 0)∪(1/3, 1), (−∞, −1)∪(0, 1/3), (−∞, −2)∪(0, 1/3)

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 (a², a + 1) lies in R is

Options :

(−∞, −1)∪(3, ∞)
(−3, 0)∪(1/3, 1)
(−∞, −1)∪(0, 1/3)
(−∞, −2)∪(0, 1/3)

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