Math Chapter Wise

EnglishSECTION B PGT TIER-I 31.11.2014

Q61.If 2 Z 1 Z 1 then Z lies on –

ACircle BReal axis CImaginary axis DEllipse

Show answer

EnglishSECTION B PGT TIER-I 31.11.2014

Q62.The value of 4n 1 4n 1 i i, 2 where i 1, is–

A1 Bi Ci DNone of these

Show answer

EnglishSECTION B PGT TIER-I 31.11.2014

Q63.If ω is a cube root of unity then ω is equal to–

A3 B1 i 3/2 C1 i 3/2 D1 i 3/2

Show answer

EnglishSECTION B PGT TIER-I 31.11.2014

Q64.If Z 4 3 then the maximum value Z 1 is–

A10 B4 C0 D6

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q65.If z=x+iy and 1 iz z i − ω = − if 1 ω = ω = then z lies on-

Acircle with unit radius Bimaginary axis Creal axis Dnone of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q66.If z 2 z 2 6, + + − ≤ + + − ≤ + + − ≤ + + − ≤ then the greatest value of z is

A3 B6 C4 D8

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q67.If i 1 = − = − and n is positive integer, then n n 1 n 2 n 3 i i i i + + + + + + + + + + + + + + + + + + + + + + + + is equal to–

A1 Bi Cin D0

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q68.If Z is complex number, then minimum value of Z Z 1 + − + − is–

A0 B1 C2 DNone of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q69.If 5 (x iy) a ib + = + + = + + = + + = + then 5 (y ix) + + equals–

Aa + bi Ba – bi Cb + ai Db – ai

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q70.If a < 0 and b > 0, then a. b is equal–

Aa b Bi a b Ca b DNone of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q71.The reflection of the complex number 4 3i 1 2i + in the straight line iz z = is–

A1 – 2i B4 – 3i C2 + i Dnone of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q72.Value of i i is–

A2 B0 C1 D–1

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q73.lf 4 z i, = then the value of z is–

Ai Bcos isin 4 4 π + Ccos isin 8 8 π + Dnone of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q74.(((()))) (((()))) 6 6 1 i 3 1 i 3 + + − = + + − = + + − = + + − =

A16 B128i C128 D64

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q75.lf x cos isin, = θ − θ = θ − θ = θ − θ = θ − θ then 3 3 1 x − − equal to-

A2isin 3θ B2isin 3/− θ C2cos3θ Dnonc of these

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q76.The amplitude of 1 i 1 3i + is–

A12/π B12/−π C4/π D4/−π

Show answer

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q77.The modulus of (()))((()) 1 2i 2 i 3 4i + − − is equal–

A5 B5 C1 D1/5

Show answer

EnglishTGT 2003

Q78.The complex number z = x + iy which satisfies the equation z 5i 1 z 5i − = + lie on

Athe axix of x Bthe straigth line y+5 = 0 Cthe circle passing through (1, 1) DNone of these

Show answer

EnglishTGT 2001

Q79.If ω is the cube root of the unit, then the value of (1+ω+ω2) (1–ω+ω2):

A1 B0 C2 D4

Show answer

EnglishTGT 1999

Q80.The amplitude of the complex number 1 3i − − − − is:

A/4/π B2 /3/π C4 /3/π D5 /3/π

Show answer