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AP EAMCET202124 Aug 2021Evening ShiftMathematicsStraight LinesActual

If a point P on the line 3 x+5 y=15 is equidistant from the coordinate axes, then P lies

Options

  1. Aonly in the first quadrant
  2. Beither in first or in second quadrant
  3. Ceither in first or in third quadrant
  4. Donly in the third quadrant

Correct answer

B. either in first or in second quadrant

Step-by-step solution

Let the point P(h, k) lie on the line 3 x+5 y=15 Distance from coordinate axes are equal from P . |h|=|k| h= k Point P line of 3 x+5 y=153 h+5 k=15 3 h+5 h=15 h=15 / 8 k=15 / 8 Put k=-h , 3 h-5 h=15=h= -15 2 , k= 15 2 ( 15 8 , 15 8 ) lie in first quadrant and ( -15 2 , 15 2 ) ie in second quadrant. P lies in the first or in second quadrant.

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