The point which does not lie in the half - plane 2x + 3y -12 < 0 … - Vidyadip

MCQ

The point which does not lie in the half $-$ plane $2x + 3y -12 < 0$ is:

A
$(2, 1)$
B
$(1, 2)$
C
$(-2, 3)$
✓
$(2, 3)$

✓

Answer

Correct option: D.

$(2, 3)$

By putting the value of point $(2, 3)$ in $2x + 3y - 12,$ we get;
$2(2) + 3(3) = -12$
$= 4 + 9 - 12$
$= 13 - 12$
$= 1$ which is greater than $0$

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