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Further Mathematics
A Level

How do I sketch the locus of |z - 5-3i | = 3 on an Argand Diagram?

First, we use the idea that a complex number z can be written in terms of its real and imaginary parts, i.e. z = x+iy, to write our expression as:

 

| x+ iy -5 - 3i | = ...

GM
27012 Views

Understanding differentiation from first principle.

How do you invert a 2x2 matrix?

Take a matrix A=(acbd), where a,b,c,d are numbers.

First find the determinant. This is ad-bc.

Now, rearrange the matrix to become (...

YP
5861 Views

How do I do a proof by induction?

How do I differentiate tan(x) ?

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