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If z(1) and z(2) are complex numbers of ...

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)`

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ICSE-COMPLEX NUMBERS-Chapter Test
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  11. Given that (2 sqrt3 cos 30^(@) - 2i sin 30^(@))/(sqrt2 (cos 45^(@) + i...

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  14. Find the real values of x and y satisfying the equality (x-2 + (y-3)i)...

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  17. Find the amplitude of the complex number "sin" (6pi)/(5) + i (1- "cos"...

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  19. Find the value of x and y given that (x + yi) (2-3i)=4+i

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  20. If the ratio (z-i)/(z-1) is purely imaginary, prove that the point z l...

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  21. If (-2 + sqrt-3) (-3 + 2 sqrt-3) = a + bi, find the real numbers a and...

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