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).

Question

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). (A) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I. (B) Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I. (C) Statement-I is true, Statement-II is false. (D) Statement-I is false, Statement-II is true.

Tardigrade Admin · Accepted Answer

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

Q. Statement-I : If z1​=9+5i and z2​=3+5i and if arg(z−z2​z−z1​​)=4π​ then ∣z−6−8i∣=32​ Because Statement-II : If z lies on circle having z1​&z2​ as diameter then arg(z−z2​z−z1​​)=4π​.

Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I.

Statement-I is true, Statement-II is false.

Statement-I is false, Statement-II is true.

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

Q. Statement-I : If $z_{1} = 9 + 5 i$ and $z_{2} = 3 + 5 i$ and if $ar g (\frac{z - z _{1}}{z - z _{2}}) = \frac{π}{4}$ then $∣ z - 6 - 8 i ∣ = 32$ Because
Statement-II : If $z$ lies on circle having $z_{1} & z_{2}$ as diameter then $ar g (\frac{z - z _{1}}{z - z _{2}}) = \frac{π}{4}$ .