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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. Aa must be purely imaginary
  2. Bmust be purely imaginary
  3. Ca must be real
  4. Db must be imaginary

Correct answer

B. must be purely imaginary

Step-by-step solution

Since ip is real is purely imaginary

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