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AP EAMCET202422 May 2024Evening ShiftMathematicsPair of LinesActual

If the axes are rotated through an angle ' ', then the number of values of such that the transformed equation of x^2+y^2+2 x+2 y-5=0 contains no linear terms is

Options

  1. A0
  2. B1
  3. C2
  4. Dinfinite

Correct answer

A. 0

Step-by-step solution

aligned & x^2+y^2+2 x+2 y-5=0 & Let x= X - Y and y= X + Y & ( X - Y )^2+( X + Y )^2 & +2( X - Y )+2( X + Y )-5=0 & X ^2+ Y ^2+2( + ) X +2( - ) Y -5=0 aligned Now, to remove linear terms + =0 and - =0 Which is not possible for any .

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