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AP EAMCET202021 Sep 2020Morning ShiftMathematicsPair of LinesActual

If the equation, (x^2+2 2 x y+2 y^2+4 x+4 2 y+1=0 ) represents a pair of straight lines which are parallel to each other. Find the distance between them is

Options

  1. A4 units
  2. B2 units
  3. C(2 3 ) units (d)
  4. D(4 3 ) units

Correct answer

B. 2 units

Step-by-step solution

Given equation of pair of parallel straight lines ( aligned & x^2+2 2 x y+2 y^2+4 x+4 2 y+1=0 & (x+ 2 y+2+ 3 )(x+ 2 y+2- 3 )=0 aligned ) Now, distance between parallel lines (x+ 2 y+2+ 3 =0 ) and (x+ 2 y+2- 3 =0 ) is ( |2+ 3 -2+ 3 | 1+2 = 2 3 3 =2 units. ) Hence, option (b) is correct.

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