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STD 11 - 4.1 complex nubers — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 4.1 complex nubers1 Mark
MCQ
If $x + iy =\sqrt {\phi  + i\psi } \,$ where $  i = \sqrt { - 1} \,$ and $\phi$  and $\psi$  are non zero real parameters then $ \phi =$  constant and $ \psi  = $ constant, represents two systems of rectangular hyperbola which intersect at an angle of
  • A
    $\frac{\pi }{6}\,$
  • B
    $\frac{\pi }{3}\,$
  • C
    $\frac{\pi }{4}\,$
  • ✓
    $\frac{\pi }{2}\,$
✓

Answer

Correct option: D.
$\frac{\pi }{2}\,$
d
$x^2 -y^2 + 2xyi = \phi + i \psi \,$
$x^2 -y^2 = \phi $ and $xy = \psi $
which intersects at $\frac{\pi }{2}\,$ 

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