Q. 54.7( 9 Votes )

The point w

Answer :

Given: Half plane 2x + 3y – 12 0


To Find: Which of the given points doesn’t satisfy the equation of the plane.


Here we have to check which point doesn’t satisfy the given equation.


For the point (1, 2), putting x = 1 and y = 2 in the given equation,


2 1 + 3 2 – 12


= 2 + 6 – 12


= -4 0


So, the given equation is true for this point.


For the point (2, 1), putting x = 2 and y = 1 in the given equation,


2 2 + 3 1 – 12


= 4 + 3 – 12


= -5 0


So, the given equation is true for this point also.


For the point (2, 3), putting x = 2 and y = 3 in the given equation,


2 2 + 3 3 – 12


= 4 + 9 – 12


= 1 0


So, the given equation is false for this point. That means this point (2, 3) doesn’t lie on the given half plane.


For the point (-3, 2), putting x = -3 and y = 2 in the given equation,


2 (-3) + 3 2 – 12


= -6 + 6 – 12


= -12 0


So, the given equation is true for this point also.


Therefore, we can conclude that the point (2, 3) is the only point which doesn’t lie on the given half plane.

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