Let \(O\) denote the origin. If \(M(1,2), N(0,1)\) and \(A(x, y)\) are points such that \(x y>0\) and \(x+y…

Let \(O\) denote the origin. If \(M(1,2), N(0,1)\) and \(A(x, y)\) are points such that \(x y>0\) and \(x+y < 1\), then choose the correct statement.
  1. A cannot lie inside \(\triangle O M N\)
  2. A lies inside \(\triangle O M N\)
  3. A lies only in the first quadrant
  4. None of the above

Solution

It is given, for a point \(A(x, y)\) \(x y > 0\) and \(x+y < 1\)
The shaded region in the diagram represent the position of point \(A\).

Asked in: AP EAMCET 2020 (21 Sep Shift 1)

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