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AP EAMCET202017 Sep 2020Evening ShiftMathematicsPair of LinesActual

Which of the following pair of straight lines intersect at right angles?

Options

  1. A(2 x^2=y(x+2 y) )
  2. B((x+y)^2=x(y+3 x) )
  3. C(2 y(x+y)=x y )
  4. D(y= 2 x )

Correct answer

A. (2 x^2=y(x+2 y) )

Step-by-step solution

For perpendicular pairs, (a+b=0 ) Now for pairs, ( aligned & 2 x^2=y(x+2 y) & 2 x^2-2 y^2-x y=0 aligned ) Coefficient of (x^2+ ) coefficient of (y^2 ) (=2+-2=0 ) So, there are perpendicular lines.

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