Maths-
General
Easy

Question

The complex number z satisfying the equation | z –1 | = | z –3 | = | z – i | is -

  1. 2 + i    
  2. fraction numerator 3 over denominator 2 end fraction plus fraction numerator 1 over denominator 2 end fractioni    
  3. 2 + 2i    
  4. None of these    

The correct answer is: 2 + 2i

Related Questions to study

General
maths-

blank fraction numerator left parenthesis negative 1 minus i square root of 3 right parenthesis to the power of 15 over denominator left parenthesis 1 plus i right parenthesis to the power of 20 end fractionis equal to –

blank fraction numerator left parenthesis negative 1 minus i square root of 3 right parenthesis to the power of 15 over denominator left parenthesis 1 plus i right parenthesis to the power of 20 end fractionis equal to –

maths-General
General
maths-

The area of the triangle on the complex plane formed by the complex numbers z, – iz and z + iz is -

The area of the triangle on the complex plane formed by the complex numbers z, – iz and z + iz is -

maths-General
General
maths-

If p represents z = x + iy in the argand plane
| z – 1|2plus vertical line z plus 1 vertical line squared equals 4 ∣ then locus of P is -

If p represents z = x + iy in the argand plane
| z – 1|2plus vertical line z plus 1 vertical line squared equals 4 ∣ then locus of P is -

maths-General
parallel
General
maths-

If omega left parenthesis not equal to 1 right parenthesis is a cube root of unity, then open vertical bar table row 1 cell 1 plus omega end cell cell 1 plus omega to the power of 2 end exponent end cell row cell 1 plus omega to the power of 2 end exponent end cell 1 cell 1 plus omega end cell row cell 1 plus omega end cell cell 1 plus omega to the power of 2 end exponent end cell 1 end table close vertical bar =

If omega left parenthesis not equal to 1 right parenthesis is a cube root of unity, then open vertical bar table row 1 cell 1 plus omega end cell cell 1 plus omega to the power of 2 end exponent end cell row cell 1 plus omega to the power of 2 end exponent end cell 1 cell 1 plus omega end cell row cell 1 plus omega end cell cell 1 plus omega to the power of 2 end exponent end cell 1 end table close vertical bar =

maths-General
General
maths-

Let e to the power of i theta end exponent equals c o s invisible function application theta plus i s i n invisible function application theta then for capital delta A B C semicolon e to the power of i A end exponent times e to the power of i B end exponent times e to the power of i C end exponent

Let e to the power of i theta end exponent equals c o s invisible function application theta plus i s i n invisible function application theta then for capital delta A B C semicolon e to the power of i A end exponent times e to the power of i B end exponent times e to the power of i C end exponent

maths-General
General
maths-

The angular elevation of an enemy's position on a hill h feet high is beta. Show that is order to shell if the initial velocity of the projectile must not be less than

The angular elevation of an enemy's position on a hill h feet high is beta. Show that is order to shell if the initial velocity of the projectile must not be less than

maths-General
parallel
General
maths-

Two masses are attached to the pulley as shown in fig., find acceleration of centre of mass

Two masses are attached to the pulley as shown in fig., find acceleration of centre of mass

maths-General
General
maths-

If a particle is thrown vertically upwards with a velocity of u cm/sec under gravity, then the time for the particle to come to earth again is

If a particle is thrown vertically upwards with a velocity of u cm/sec under gravity, then the time for the particle to come to earth again is

maths-General
General
maths-

A lizard, at an initial distance of 21cm behind an insect, moves from rest with an acceleration of 2 c m divided by s to the power of 2 end exponent and pursues the insect which is crawling uniformly along a straight line at a speed of 20 c m divided by s. Then the lizard will catch the insect after

A lizard, at an initial distance of 21cm behind an insect, moves from rest with an acceleration of 2 c m divided by s to the power of 2 end exponent and pursues the insect which is crawling uniformly along a straight line at a speed of 20 c m divided by s. Then the lizard will catch the insect after

maths-General
parallel
General
maths-

Two cars A and B are moving uniformly on two straight roads at right angles to one another at 40 and 20 km/hr respectively. A passes the intersection of the road when B has still to move 50 km to reach it. The shortest distance between the two cars and the time when they are closest are

Two cars A and B are moving uniformly on two straight roads at right angles to one another at 40 and 20 km/hr respectively. A passes the intersection of the road when B has still to move 50 km to reach it. The shortest distance between the two cars and the time when they are closest are

maths-General
General
chemistry-

In thgivearrangementopressinthkey, the

In thgivearrangementopressinthkey, the

chemistry-General
General
chemistry-

A schematiplooln Keq versuinversof temperaturfoare actioishowbelow

The reaction must be

A schematiplooln Keq versuinversof temperaturfoare actioishowbelow

The reaction must be

chemistry-General
parallel
General
chemistry-

For which of the following reaction K subscript P equals K subscript C

For which of the following reaction K subscript P equals K subscript C

chemistry-General
General
chemistry-

Some gaseous equilbrium are following -

then find out the relation between equilbrium constant -

Some gaseous equilbrium are following -

then find out the relation between equilbrium constant -

chemistry-General
General
chemistry-

If some He gas is introduced into the equilibrium P C l subscript 5 end subscript rightwards harpoon over leftwards harpoon P C l subscript 3 end subscript plus C l subscript 2 end subscript at constant pressure and temperature then equilibrium constant of reaction

If some He gas is introduced into the equilibrium P C l subscript 5 end subscript rightwards harpoon over leftwards harpoon P C l subscript 3 end subscript plus C l subscript 2 end subscript at constant pressure and temperature then equilibrium constant of reaction

chemistry-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.