NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

If the point P 3 a 2 , 1 lies between the two different lines x + y = a and x + y = 2 a , then the least integral value of a is equal to

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Correct answer

C. 3

Step-by-step solution

Point 3 2 a ,   1 lies between two different lines x + y = a and x + y = 2 a ∴ 3 2 a + 1 - a 3 2 a + 1 - 2 a < 0 ⇒ a ∈ - ∞ , - 2 ∪ 2 , ∞ ⇒ a ∈ 2 , ∞ Hence, the least integral value of a is 3

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