Most Important Selected Qs for JEE AdvancedMathematicsComplex Number

Let z satisfies z z +(-4+5 i) z +(-4-5 i) z-40=0 . If a= .|z+2-3 i| and b= .|z+2-3 i| , then:

Options

Aa+b=20
Ba^2+b^2=362
Ca-b=18
Da b=19

Correct answer

D. a b=19

Step-by-step solution

Centre of circle =(4,-5) Radius = |-4+5 i|^2-(-40) = 4^2+5^2+40 =9 Distance of centre (4,-5) from (-2,3) is 10 . aligned a & = .|z-(-2+3 i)|=9+10=19 b & = .|z-(-2+3 i)|=10-9=1 aligned Now, verify.

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