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Most Important Selected Qs for JEE AdvancedMathematicsComplex Number

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 ₁= ₁ ₁
  2. B₂ ₁^2= ₁ ₂^2
  3. C₁^2= ₂^2
  4. D₁+2 ₂=0

Correct answer

B. ₂ ₁^2= ₁ ₂^2

Step-by-step solution

aligned & ₁= ₂ e ^ i 4 3 & ₁^3= ₂^3 aligned aligned & ₁^3 ₁^2 ₂^2= ₂^3 ₁^2 ₂^2 & ₂ ₁^2= ₁ ₂^2 aligned

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