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Grade: 11
        All points lying inside the triangle formed by the points (1,3),(5,0) and (-1,2) will satisfy relation--a) 3x+2y>_0 b) 2x+y-13 >_0c) 2x-3y-12 _0
7 months ago

Answers : (2)

Arun
12335 Points
							
Dear Lucky
 
 

If all the three vertices of a triangle lie on one side of a line , all the interior points of that triangle lie on the same side of that line. 

Now, Substituting the coordinates of the points (1,3), (5,0) and (-1,2) in 3x+2y, we get the following values, 

8,15 and 1 which all are +ve.

therefore, all the points lying inside the triangle formed by given points satisfy 

3x+2y >= 0 

In the same way, all the points lying inside the triangle formed by given points also satisfy 

2x-3y-12

 

 

Regards

Arun (askIITians forum expert)

7 months ago
Lucky
27 Points
							Thank you sir, I really got struck with that problem.now I get how to think for such type of questions
						
7 months ago
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