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AP EAMCET2001MathematicsComplex Number

If a is a complex number and b is a real number, then the equation a +a+b=0 represents a

Options

  1. Astraight line
  2. Bparabola
  3. Ccircle
  4. Dhyperbola

Correct answer

A. straight line

Step-by-step solution

Let a=x+i y , then a =x-i y Thus, a +a+b=0 aligned & x-i y+x+i y+b & =0 & 2 x+b & =0 & x+ b 2 & =0 aligned Which represent a straight line.

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