JEE 2020 Mathematics : Complex Number -01

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Question 1

If x + 1/x =1, then x²⁰⁰⁰ +1/x²⁰⁰⁰ is equal to

• A1
• B–1
• C0
• DNone of these

Question 2

If i=√-1 then is equal to

• A1-i√3
• B-1+i√3
• Ci√3
• D-i√3

Question 3

The number of real values of 'a' satisfying the equation a² – 2a sin x + 1 = 0 is

• AZero
• BOne
• CTwo
• DInfinite

Question 4

If = 3²⁵(x+iy),where x and y are real, then the ordered pair (x,y) is

• A(–3,0)
• B(0,3)
• C(0, –3)
• D

Question 5

The real part of (1-i)^-i is

• A
• B
• C
• D

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