1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement-I: If z1=9+5 i and z2=3+5 i and if arg ((z-z1/z-z2))=(π/4) then |z-6-8 i|=3 √2 Because Statement-II: If z lies on circle having z1 z2 as diameter then arg ((z-z1/z-z2))=(π/4).

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Q. Statement-I : If $z_1=9+5 i$ and $z_2=3+5 i$ and if $\arg \left(\frac{z-z_1}{z-z_2}\right)=\frac{\pi}{4}$ then $|z-6-8 i|=3 \sqrt{2}$ Because
Statement-II : If $z$ lies on circle having $z_1 \& z_2$ as diameter then $\arg \left(\frac{z-z_1}{z-z_2}\right)=\frac{\pi}{4}$.

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (c) Statement-I is true, Statement-II is false.