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MHT CET202617 April 2026Evening ShiftMathematicsStraight LinesActual

The line y = 2x + c passes through a point that is equidistant from both the axes and lies in the first quadrant (x > 0, y > 0) . Then the value of c is...

Options

  1. A0
  2. B1
  3. C2
  4. D-2

Correct answer

D. -2

Step-by-step solution

Let the point in the first quadrant equidistant from both axes be (a, a) , where a > 0 . Since the line y = 2x + c passes through (a, a) , substituting the coordinates gives: a = 2a + c c = -a Since a > 0 , it follows that c Among the given options, the only negative value is -2 . Answer: -2

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