Home
Class 11
MATHS
lf z(!=-1) is a complex number such that...

lf `z(!=-1)` is a complex number such that `[z-1]/[z+1]` is purely imaginary, then `|z|` is equal to

A

2

B

1

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5.1|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5.2|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5E|10 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Example|68 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If the number (z-1)/(z+1) is purely imaginary, then

If the ratio (1-z)/(1+z) is purely imaginary, then

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

The number of distinct complex number(s) z, such that |z|=1 and z^(3) is purely imagninary, is/are equal to

z is complex number such that (z-i)/(z-1) is purely imaginary. Show that z lies on the circle whose centres is the point 1/2 (1+i) and radius is 1/sqrt2