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प्रश्न
Choose the correct alternative:
If z = x + iy is a complex number such that |z + 2| = |z – 2|, then the locus of z is
विकल्प
real axis
imaginary axis
ellipse
circle
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उत्तर
imaginary axis
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संबंधित प्रश्न
If 2 = x + iy is a complex number such that `|(z - 4"i")/(z + 4"i")|` = 1 show that the locus of z is real axis
If z = x + iy is a complex number such that Im `((2z + 1)/("i"z + 1))` = 0, show that the locus of z is 2x2 + 2y2 + x – 2y = 0
Obtain the Cartesian form of the locus of z = x + iy in the following cases:
[Re(iz)]2 = 3
Obtain the Cartesian form of the locus of z = x + iy in the following cases:
Im[(1 – i)z + 1] = 0
Obtain the Cartesian form of the locus of z = x + iy in the following cases:
|z + i| = |z – 1|
Show that the following equations represent a circle, and, find its centre and radius.
|z – 2 – i| = 3
Show that the following equations represent a circle, and, find its centre and radius.
|2z + 2 – 4i| = 2
Show that the following equations represent a circle, and, find its centre and radius.
|3z – 6 + 12i| = 8
Obtain the Cartesian equation for the locus of z = x + iy in the following cases:
|z – 4| = 16
Choose the correct alternative:
If `|"z" - 3/2|`, then the least value of |z| is
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If |z| = 1, then the value of `(1 + "z")/(1 + "z")` is
Choose the correct alternative:
If |z1| = 1,|z2| = 2, |z3| = 3 and |9z1z2 + 4z1z3 + z2z3| = 12, then the value of |z1 + z2 + z3| is
Choose the correct alternative:
The principal argument of the complex number `((1 + "i" sqrt(3))^2)/(4"i"(1 - "i" sqrt(3))` is
