Home
Class 11
MATHS
Show that a real value of x will satisfy...

Show that a real value of `x` will satisfy the equation `(1-i x)//(1+i x)=a+i b` if `a^2+b^2=1,w h e r ea ,b` real.

A

1

B

0

C

-1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5F|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5.1|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5D|6 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Show that a real value of x\ will satisfy the equation (1-ix)/(1+ix)=a-i b\ if\ a^2+b^2=1 , when a\ , b are real.

A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a ,\ b in RR),\ if\ a^2+b^2= a. 1 b. -1 c. 2 d. -2

Find the real values of x and y satisfying the equality (x-2 + (y-3)i)/(1+i)= 1-3t

The set of real values of x satisfying the equation |x-1|^(log_3(x^2)-2log_x(9))=(x-1)^7

Prove that t a n(i(log)_e((a-i b)/(a+i b)))=(2a b)/(a^2-b^2)(w h e r ea ,b in R^+)

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7

Number of real values of x satisfying the equation (log)_2(x^2-x)(log)_2((x-1)/x)+((log)_2x)^2=4,i s 0 (b) 2 (c) 3 (d) 7

Find the real values of x and y for which (1+i)y^2+(6+i)=(2+i)x

If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the other real root is

Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i