Most Important Selected Qs for JEE AdvancedMathematicsComplex Number

Paragraph: Consider the equation a z+ b z +c=0 , where a, b, c C (set of complex number) Question: If |a|=|b| and a c b c , then z has

Options

Ainfinite solutions
Bno solutions
Cfinite solutions
Dcannot say anything

Correct answer

B. no solutions

Step-by-step solution

a z+b z +c=0.......(1) a z + b z + c =0.......(2) Eliminating z from (1) and (2) (|b|^2-|a|^2 ) z=c a -b c Adding (1) and (2) ( a + b ) z +( a + b ) z +( c + c )=0 This is of form A z + A z+B=0

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