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AP EAMCET202316 May 2023Morning ShiftMathematicsStraight LinesActual

The sides of a triangle are 3 x+2 y-6=0,2 x-3 y+6=0 and x+2 y+2=0 . If P(0, b) lies either on the triangle or inside the triangle, then b lies in the interval

Options

  1. A[-1,3]
  2. B[2,3]
  3. C[-1,2]
  4. D[-2,2]

Correct answer

C. [-1,2]

Step-by-step solution

Given 3 x+2 y-6=0,2 x-3 y+6=0, x+2 y+2=0 We can re-write it as follows x 2 + y 3 =1, x (-3) + y 2 =1, x -2 + y -2 =1 P (0, b) The triangle A B C in the above graph is the required triangle. In which, clearly, (0, b) can vary from point (0,2) to (0,-1) . So, range of b is [-1,2] .

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