Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
If z is the complex number satisfying |z-3-4 i| 10 and = ⁻¹ ( (|z|_ ) . , = ⁻¹ ( (- |z|_ +|z|_ 3 ) ) , then -
Options
- A-3 =
- B-3 =-
- C^2 + ^2 3 =1
- D^2 + ^2 3 =-1
Correct answer
C. ^2 + ^2 3 =1
Step-by-step solution
aligned & |z-3-4 i| 10 & |z|_ =15 & |z|_ =0 & = ⁻¹ ( (|z|_ ) ) aligned = ⁻¹( 15)=5 -15 = ⁻¹ ( (- |z|_ +|z|_ 3 ) )= ⁻¹ (-5)= ⁻¹ 5=2 -5 -3 =5 -15-6 +15=- ^2 + ^2 3 = ^2 15+ ^2 15=1