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AP EAMCET202018 Sep 2020Evening ShiftMathematicsStraight LinesActual

The equation of lines passing through ((5,3) ) and perpendicular to (2 x+y-7=0 ) is

Options

  1. A(2 y-x-2=0 )
  2. B(2 y-x+2=0 )
  3. C(x+y-8=0 )
  4. D(2 y-x-1=0 )

Correct answer

D. (2 y-x-1=0 )

Step-by-step solution

(2 x+y+7=0 P=(5,3) ) Required line is (b (x-x₁ )-a (y-y₁ )=0 ) ( aligned 1(x-5)-2(y-3) & =0 x-5-2 y+6 & =0 x-2 y+1 & =0 2 y-x-1 & =0 aligned ) Hence, option (d) is correct.

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