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Paragraph: The complex slope of a line passing through two points represented by complex numbers z₁ and z₂ is defined by z₂-z₁ z₂-z₁ and we shall denote by . If z₀ is complex number and c is a real number, then z ₀ z+z₀ z +c=0 represents a straight line. Its complex slope is - z₀ z ₀ . Now consider two lines z + z+i =0 ...(i) and a z + a z+b=0 ...(ii) where , and a , b are complex constants and let their complex slop

Options

  1. A2 2
  2. B2 2 i
  3. C2(1-i)
  4. D-2(1+i)

Correct answer

C. 2(1-i)

Step-by-step solution

aligned & - = e ^ 2 = i & (1+ i ) (- 2 )= 2(-1+ i ) aligned

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