Complex Number and Quadratic Equations
The conjugate of a complex number is i−11. Then the complex number is
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Let z1 and z2 be any non zero complex no. if 3∣z1∣=4∣z2∣ than Z=3z22z1+2z13z2 is
xn=cos2nπ+i sin2nπ then x1x2x3x4......x∞=
If (x+iy)(2−3i)=4+i, then
Find all complex numbers z which satisfy the following equationz=−zˉ
If z1,z2,z3 are three distinct complex numbers and a,b,c are three positive real numbers such that∣z2−z3∣a=∣z3−z1∣b=∣z1−z2∣c then (z2−z3)a2+(z3−z1)b2+(z1−z2)c2=
The multiplicative inverse of (−2+5i) is
Given that the real parts of 5+12i and 5−12i are negative. Then the numberz=5+12i−5−12i 5+12i+5−12i reduces to
Assertion :Statement -1: If z1 and z2 are two complex numbers such that ∣z1∣=∣z2∣+∣z1−z2∣, then Im(z2z1)=0 Reason :Statement -2: arg(z)=0⇒z is purely real.