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The sides of a triangle are given by the equation 3x+4y=10 ,4x-3y=5,7x+y+10=0 show that the origin lies wirhin the triangle

The sides of a triangle are given by the equation 3x+4y=10 ,4x-3y=5,7x+y+10=0 show that the origin lies wirhin the triangle

Grade:11

2 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
2 years ago
Just find x and y intercepts of all 3 lines by converting them in the form of x/a + y/b =1
Draw the triangle with the help of intersection of 3 lines obtained in above step. Validate whether origin is inside or not.
Shiva Rao
28 Points
2 years ago
Take all 3 equations .Now mark them as 123
 Now take 1 and 2 equations and solve we get
X=2 Y =1
remaining 2  points  are got similarly
Now  draw the triangle on a graph and check whether the origin lies in the triangle

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