Coordinate Geometry Question 4

Question: All points lying inside the triangle formed by the points (1, 3), (5,0) and (-1,2) satisfy

[IIT 1986; Kurukshetra CEE 1998]

Options:

A) $ 3x+2y\ge 0 $

B) $ 2x+y-13\le 0 $

C) $ 2x-3y-12\le 0 $

D) All the above

Show Answer

Answer:

Correct Answer: D

Solution:

For $ (1,3),3x+2y=3+6>0, $ for (5, 0), $ 3\times 5+0>0 $ and for $ (-1,2),-3+4>0. $ Similarly other inequalities hold good.



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