Q30 / 109 · NTA Abhyas (JEE Main) 2020 · Mathematics · Straight Lines

If the point P3a2,1 lies between the two different lines x+y=a and x+y=2a, then the least integral value of a is equal to

  • A
    1
  • B
    2
  • Correct answer
    C
    3
  • D
    4

Solution

Point 32a, 1 lies between two different lines x+y=a and x+y=2a

∴32a+1-a32a+1-2a<0⇒a∈-∞,-2∪2,∞
⇒a∈2,∞

Hence, the least integral value of a is 3

Hence, the correct answer is option: 'C'.

More Straight Lines Questions