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AP EAMCET202125 Aug 2021Morning ShiftMathematicsPair of LinesActual

Find the value(s) of k such that the distance between the two parallel lines represented by (x-2 y)^2+k(x-2 y)=0 is 3 units

Options

  1. A0
  2. B3 5
  3. C5
  4. D3

Correct answer

B. 3 5

Step-by-step solution

Given equation, aligned (x-2 y)^2+k(x-2 y) & =0 (x-2 y)(x-2 y+k) & =0 (x-2 y)=0 or x-2 y+k & =0 aligned Distance between these parallel lines is array rlrl & | k-0 1+2^2 | & = | k 5 |=3 & k & =3 5 k & = 3 5 array

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