Complex number for class 11 th, complete chapter L-2

Complex number part 2

The conjugate of a complex number is 1/(i-1) . Then the complex number is

Let A(z_1) and (z_2) represent two complex numbers on the complex plane. Suppose the complex slope of the line joining A and B is defined as (z_1-z_2)/(bar z_1-bar z_2) .If the line l_1 , with complex slope omega_1, and l_2 , with complex slope omeg_2 , on the complex plane are perpendicular then prove that omega_1+omega_2=0 .

Represent the following complex numbers in the complex plane 2+3i

If z_(1) and z_(2) are complex numbers of two points, then prove that the complex number of the point, which divides the distance between them internally in the ratio l:m is given by (l z_(2) + mz_(1))/(l+m)

English class 9 chapter 2