CUET Preparation Today
CUET
-- Mathematics - Section A
Linear Programming
The point which lies in the half plane 2x - y ≥ 6 is:
(1, 2)
(2, 1)
(4, 1)
(4, 8)
The correct answer is Option (3) - (4, 1)
$2x - y ≥ 6$
$2(1)-2≥ 6$ (false)
$2(2)-1≥ 6$ (false)
$2(4)-1≥ 6$ (true) ⇒ it lies in half plane