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AP EAMCET202125 Aug 2021Evening ShiftMathematicsStraight LinesActual

The equation of a line though the point (1, 2) whose distance from the point (3, 1) has the greatest value is

Options

  1. Ay = 2 x
  2. By = x + 1
  3. Cx + 2 y = 5
  4. Dy = 3x − 1

Correct answer

A. y = 2 x

Step-by-step solution

We have plotted the diagram based on the given information. aligned & A B C D & m_ A B m_ C D =-1 aligned aligned m_ A B ( 1-2 3-1 ) & =-1 m_ A B & =2 aligned Equation of line A B passing through (1,2) is y − 2 = 2(x − 1) y=2 x

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