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AP EAMCET20227 Jul 2022Evening ShiftMathematicsPair of LinesActual

The equations of the lines perpendicular to x^2-5 x y+4 y^2=0 and passing through (2,1) is

Options

  1. A4 x^2+5 x y+y^2-13 x-1=0
  2. B4 x^2+5 x y+y^2-5 x-10 y-7=0
  3. C4 x^2+5 x y+y^2-4 x-4 y-15=0
  4. D4 x^2+5 x y+y^2-21 x-12 y+27=0

Correct answer

D. 4 x^2+5 x y+y^2-21 x-12 y+27=0

Step-by-step solution

Given, lines are x-4 y=0 and x-y=0 Lines perpendicular to them and passing through (2,1) are 4 x+y-9=0 and x+y-3=0 Equation of pair of straight lines is aligned & (4 x+y-9)(x+y-3)=0 & 4 x^2+5 x y+y^2-21 x-12 y+27=0 aligned

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