AP EAMCET · Maths · Straight Lines
Ali points inside the triangle with vertices at \((1,3),(5,0)\) and \((-1,2)\) must necessarily satisfy.
- A \(3 x+2 y \leq 0\)
- B \(3 x+2 y>0\)
- C \(2 x-3 y-12>0\)
- D \(2 x+y-13>0\)
Answer & Solution
Correct Answer
(B) \(3 x+2 y>0\)
Step-by-step Solution
Detailed explanation
Let \(A \equiv(1,3), B \equiv(5,0), C \equiv(-1,2)\) For point \(A(1,3), 3 x+2 y=3+6=9>0\) For point \(B(5,0), 3 x+2 y=15+0=15>0\) For point \(C(-1 ; 2), 3 x+2 y=-3+4=1>0\) \(\therefore\) Option (a) is rejected. Now, for option (c) \(2 x-3 y-12=2-9-12 < 0\) \(\therefore\) Option…
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