JEE Main 2024 Mathematics question
Let R be the interior region between the lines 3x – y + 1 and x + 2y – 5 = 0 containing the origin. The set of all values of a, for which the points (a², a + 1) lie in R, is:
Answer: (D)
Solution
The point (a², a + 1) must lie on the same side as (0, 0) of both lines: 3a² − (a + 1) + 1 > 0 gives a(3a − 1) > 0, and a² + 2a + 2 − 5 < 0 gives
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