Home
Class 12
MATHS
lf z + 1/z =1 and a = z^2017 +1/z^2017 ...

lf `z + 1/z =1 and a = z^2017 +1/z^2017 and b` is the lastdigit of the number `2^(2^n)-1` ,, when the integer `n >1`, the value of `a^2 +b^2` is

A

23

B

24

C

26

D

27

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise EXAMPLE|10 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise EXAMPLE(Single integer answer type questions)|1 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If |z^2-1|=|z|^2+1 , then z lies on :

If z is a complex number such that |z|geq2 , then the minimum value of |z+1/2|

If n gt 1 and if z ^(n) = (z +1) ^(n) then :

If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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

If z_1 = 2 + 3i and z_2= 3 +i , plot the number z_1+ z_2 . Also show that : |z_1|+|z_2| > |z_1+z_2| .

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(1)/(z))=2 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(2)/(z))=4 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition that ((w- bar w z)/(1-z)) is a purely real, then the set of values of z is |z|=1,z!=2 (b) |z|=1a n dz!=1 (c) z=bar z (d) None of these