If z=x+iy and x^(2)+y^(2)=1. Then the ar...

If `z=x+iy` and `x^(2)+y^(2)=1`. Then the argument of the complex, number `((z-1))/((z+1))` is

`pi//3`

`pi//4`

`pi//2`.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MODEL TEST PAPER 3
KCET PREVIOUS YEAR PAPERS|Exercise (MATHEMATICS)|60 Videos
MODEL TEST PAPER 5
KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

Find modulus and argument of the complex numbers z=-1-isqrt(3)

If z_(1)=sqrt(3)+i sqrt(3) and z_(2)=sqrt(3)+i then the complex number ((z_(1))/(z_(2))) lies in the

If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the complex number z lies

If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the complex plane

Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then the number of distinct complex number z satisfying [[z+1,omega,omega^(2)],[omega,z+omega^2,1],[omega^(2),1,z+omega]] = 0 is equal to

Let z_(1) and z_(2) be two distinct complex numbers and let z=(1-t)z_(1)+tz_(2) for some real number t with 0 lt t lt 1 . If Arg (w) denotes the principal argument of a non zero complex number w , then

If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(pi/4) , then

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

If z_(1) and z_(2) are complex number and (z_(1))/(z_(2)) is purely imaginary then |((z1+z2)/(z1-z2))|=

A complex number z is said to be unimodular if |z| =1 suppose z_(1) and z_(2) are complex numebers such that (z_(1)-2z_(2))/(2-z_(1)z_(2)) is unimodular and z_(2) is not unimodular then the point z_(1) lies on a

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 4-Mathematics

Let G be subset of real numbers. For a,b, hat(I) G, define a**b=a+b-ab...
Text Solution
|
If z=x+iy and x^(2)+y^(2)=1. Then the argument of the complex, number ...
Text Solution
|
Let alpha represent an imaginary cube root of unity Then the value of ...
Text Solution
|
If A,G,H be the arithmetic, geometric and harmonic means, respectively...
Text Solution
|
The value of the product 6^(1/2)xx6^(1/4)xx^(1/8)xx6^(1/16) . . . . ...
Text Solution
|
If the roots of the equation x^(2)-lx+m=0 differ by 1, then
Text Solution
|
In the expression of (sqrt(x)+(1)/(3x^(2)))^(10) the constant term, in...
Text Solution
|
If A=[(0,1),(0,2)],B=[(1,2),(0,0)], then AB is equal to
Text Solution
|
If A=[(2,3,1),(1,0,2),(2,1,0)] then the matrix of co-factors of A, is
Text Solution
|
If B=[(6,7),(8,9)] then B^(-1) is equal to
Text Solution
|
If p is a prime integer, the set G={1,2, . . . . P-1} will form an abe...
Text Solution
|
The value of sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+ . . . .+sin^(2)...
Text Solution
|
(sin^(3)A+sin3A)/(sinA)+(cos^(3)A-cos3A)/(cosA) is equal to
Text Solution
|
If costheta=((acosphi+b))/((a+bcosphi)), then the value of tan (theta/...
Text Solution
|
If (sinA+sinB=a) and (cosA+cosB=b) then the value of cos(A+B) is equal...
Text Solution
|
The value of tan[2" tan"^(-1)(1)/(5)-(pi)/(4)] is equal to
Text Solution
|
The value of cot^(-1)9+"cos ec"^(-1)((sqrt(41))/(4)), is equal to
Text Solution
|
Value of [2(Cos15^(@)+isin15^(@))]^(6), is equal to
Text Solution
|
The solution set of sin^(2)theta=costheta+(1)/(4), in the interval 0le...
Text Solution
|
If the equation hxy+gx+fy+c=0(h!=0), represents a pair of straight l...
Text Solution
|