Home
Class 11
MATHS
If (sqrt(8)+i)^(50)=3^(49)(a+ib) then a^...

If `(sqrt(8)+i)^(50)=3^(49)(a+ib)` then `a^(2)+b^(2)=....`

A

3

B

8

C

9

D

`sqrt(8)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|16 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE :|21 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

If ((1-i)/(1+i))^(100)=a+ib then find (a,b)

If a+ib = (x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If z=(sqrt(3)-i)/2 , where i=sqrt(-1) , then (i^(101)+z^(101))^(103) equals to

Simplify :- (i) (6)/(sqrt(2)) (ii) (sqrt(3))/(3) (iii) sqrt((3)/(4)) (iv) (6)/(sqrt(2)) (v) (sqrt(5))/(10) (vi) sqrt((16)/(2))

If z = (sqrt(3)+i)/2 (where i = sqrt(-1) ) then (z^101 + i^103)^105 is equal to

If z = x + iy and x +iy= (a+ib)/(a-ib) then x^2+y^2=1 .

If p= (sqrt3- sqrt2) /( sqrt3+ sqrt2) and q= (sqrt3+sqrt2)/( sqrt3- sqrt2) , find the value of p^(2) +q^(2) .

Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab ^(2) (ii) 8a ^(3) - b ^(3) -12a ^(2) b+ 6ab ^(2) (iii) 1- 64 a ^(3) -12a + 48 a ^(2) (iv) 8p^(3) - (12)/(5) p^(2) + (6)/(25) p- (1)/(125)