Khan Academy: Algebra: Complex Numbers: Iit Jee Complex Numbers (Part 1)

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He shows how to divide two complex numbers but runs out of time and continues in the...

Video shows working a problem from the IIT JEE test which involves algebraic manipulation and using what the argument of complex numbers is to visually reason if two given equations about arguments are true. [7:26]

Video shows working a problem from the IIT JEE test which involves determining whether the determinant of a matrix of four given complex numbers is 0. [3:09]

Video shows the logic behind why some believe that saying i is the principal root of -1 is wrong. Explains why the logic is faulty. Explains more technically the meaning of principal root. [6:44]

The second video dedicated to solving an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given circle...

The third video of five on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given hyperbola...

An instructional video that presents the solution to an IIT JEE problem about the intersection points of a circle and a hyperbola. Students must find the intersection points and then determine the equation for a circle whose diameter is...

The first of five videos created to solve an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. In this video the circle and hyperbola are graphed and the instructor shows what the common tangent...

The fourth of five videos on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video combines equations from both the second and third videos to form a system of two equations in...

The final video in the series on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. The video first completes solving for the slope that began in the previous video and then substitutes...