Math Chapter Wise

EnglishBihar (TRE 2.0)-2023

Q01.The value of i -35 is

Ai B-i C1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q02.The multiplicative inverse of 2 - 3i is

A2+ 3i B3 - 2i C2 3i 13 13 + DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q03.If x2 + 2x + k is a factor of 2x4 + x3 – 14x2 + 5x + 6, then the value of k is:

A2 B–2 C–3 D3

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EnglishKVS PGT 2023

Q04.If a complex number z satisfies the condition + − i z = 1, then it will lie on:

Ax - axis By - axis Ccircle x2 + y2 = 1 Dline x + y = 1

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EnglishKVS PGT 2023

Q05.The multiplicative inverse of 3 + 2i is:

A3 2 13 13 − + i B3 2 13 13 + i C3 2 13 13 − i D3 2 13 13 − − i

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EnglishKVS PGT 2023

Q06.The real value of θ for which the expression 3 2i sin 1 2i sin + θ − θ is a real number is:

An 2 π − B2nπ Cn 2 π + Dnπ

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EnglishKVS PGT 2023

Q07.If z1 and z2 are two complex numbers, then which one of the following is not true?

A1 2 1 2 Z. Z. z z = B1 2 1 2 Z Z z z + ≤ + C1 2 1 2 Z Z z z − ≤ − D() 2 2 2 2 1 2 1 2 1 2 Z Z Z Z 2 z z + + − = +

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EnglishKVS PGT 2023

Q08.The least positive integer value, of n, if n 1 + = − i is:

A1 B2 C3 D4

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EnglishNVS PGT 2022

Q09.If w is a complex cube root of unity, then 1 + ω + ω2 +... + ω100 is equal to:

A0 B1 + ω C1 − ω Dω

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EnglishNVS PGT 2022

Q10.If () 12 1 3i + = x +iy then 1 12 y is equal to:

A1 B2 C3 D0

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EnglishKVS PGT 2022

Q11.If |a+ib|=|c+id|, then:

Aa2 +c2 =0 Bb2 +c2 =0 Ca2 +b2 =c2 +d2 Db2 +d2 =0

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EnglishKVS PGT 2022

Q12.Which of the following is correct for any two complex numbers z1 and z2?

A|z1z2| =|z1||z2| Barg (z1z2)=(arg z1) A (arg z2) C|z1+z2|=|z1|+|z2| D|z1+z2|z1|−|z2|

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EnglishKVS PGT 2022

Q13.The complex number 2(5 3i) 1 3i + − can be expressed in the form a + ib as:

A1 3i B1 3i/+ C1 3 3i/+ D1 3 3i

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EnglishKVS PGT 2022

Q14.The real part of square of a complex number is equal to:

Athe square of its real part Bthe square of its imaginary part Cthe sum of squares of real and imaginary parts Dthe difference of squares of real and imaginary parts

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EnglishRPSC PGT 2022

Q15.Image of line x = 1 2 in the Z-plane under the transformation W = 1 z is

A(u – 2)2 + v2 = 1 Bu2 + (v –1)2 = 1 C(u – 1)2 + v2 = 1 Dstraight line v = 2v

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EnglishRPSC PGT 2022

Q16.Amplitude of complex number sin 7π 7π + i(1 + cos)is - 5 5

A10/−π B3 10 − π C5/−π Dx 3 y 4 z 5 2 3 4 − − − =

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EnglishRPSC PGT 2022

Q17.If z = x+ iy, then minimum value of |z –3| + |z – 4| is -

A0 B1 C2 D3

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EnglishRPSC PGT 2022

Q18.Invariant points of the transformation w = 2z - 4 z + 2 are -

A2 and –2 B2iand 2i C2i and –2i DI and –i

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EnglishRPSC PGT 2022

Q19.Principal value of cos–1 5π (cos()) 4 is-

A4/−π B3 4 π C7 4 π D4/π

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EnglishDSSSB PGT 2021

Q20.Find the argument of this complex number ()() 1+ i 3 + i:

A5 12 π B12/π Cπ D4/π

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