Home
Class 11
MATHS
Let A(z1) and (z2) represent two compl...

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`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let z_(1)" and "z_(2) be two complex numbers such that z_(1)z_(2)" and "z_(1)+z_(2) are real then

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, iz, and z + iz

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, -iz, and z - iz.

Let z_1 and z_2 q, be two complex numbers with alpha and beta as their principal arguments such that alpha+beta then principal arg(z_1z_2) is given by:

If z_(1)" and "z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 then

All complex numbers 'z' which satisfy the relation |z-|z+1||=|z+|z-1|| on the complex plane lie on the

If z_(1)" and "z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0, Im(z_(1)z_(2))=0 then

P represents the variable complex number z find the locus of z if : Re((z+1)/(z+i))=1

Fir any complex number z, the minimum value of |z|+|z-1| is

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?