Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q41.The polar form of ((()) 1 3 − − − − − − − − − − − − is

A2 2 2 cos isin 3 3 π − B2 cos isin 3 3 π + C2 2 2 cos isin 3 3 π + D2 cos isin 3 3 π −

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EnglishUP TGT-2016 (08-03-2019)

Q42.If ωis cube root of unity, then (3+ω+3ω2)6 is equal to

A32 B64 C128 D16

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EnglishKVS PGT 23-12-2018

Q43.The square root of 5+12i is:

A(3+2i) B(2+3i) C(2–3i) D(3–2i)

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EnglishKVS PGT 23-12-2018

Q44.If 3 5i x 2 + =, then the value of 3 2 2x 6x 17x 12 − + + − + + − + + − + + is:

A4 B8 C12 D0

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EnglishKVS PGT 23-12-2018

Q45.If sinx icos2x + + and cosx isin2x − − are conjugate to each other, then:

Ax = nπ B() x 2n 1 4 π = + Cx=1 Ddoes not exist

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EnglishUP PGT-2016 (02-02-2019)

Q46.If | z 5 | 2,z x iy, + ≤ = + + ≤ = + + ≤ = + + ≤ = + then the greatest value of | z 2 | + + is

A2 B4 C5 D6

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EnglishUP PGT-2016 (02-02-2019)

Q47.If i 1, = − = − then the general value of ii is equal to

A() 4n 1 2 e π + B() 4n 1 2 e π − + C() 2n 1 2 e π + DNone of these

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EnglishUP PGT-2016 (02-02-2019)

Q48.If 3 2i A iB, 7 4i − + = + then value of A–B is

A1/5 B2/5 C3/5 D−1/5

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EnglishLT 2018

Q49.The three cube roots of z = –8i are

A2i, 3 i, 3 i − − − B2i, 3 i, 3 i − − − − C2i, 3 i, 3 i − − + D2i, 3 i, 3 i − − − +

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EnglishLT 2018

Q50.If Im z 1 4 2z 1 − = − + then the locus of z is

Aan ellipse Ba parabola Ca straight line Da circle

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EnglishLT 2018

Q51.If z= x+iy, where i 1, = − = − then z 3 2 z 3 − = + represents a circle, whose centre and radius, respectively, are

A(5, 0), 5 B(–5, 0), 2 C(–5, 0), 3 D(–5, 0), 4

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EnglishLT 2018

Q52.If ω(≠ 1) is a cube root of unity, then the value of (((()))) (((()))) { { } } 5 5 2 2 1 1 32 − ω + ω + + ω − ω − − ω + ω + + ω − ω − − ω + ω + + ω − ω − − ω + ω + + ω − ω − is

A0 B–32 C32 D–64

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EnglishLT 2018

Q53.The value of 3 4i − − is

A2+i B1+i C1–i D2–i

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EnglishLT 2018

Q54.If 4 4 a cos isin, 3 3 π = + = + then the value of 3n 1 a 2 + is

A() n 1 − B3n 1 2 C() n 3n 1 2 − D() n 1 1 − +

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EnglishLT 2018

Q55.If ((()) 1 ω ≠ ω ≠ is cube root of unity, then the value of (((()))) (((()))) 3n 3n 2 2 1 2 1 2 + ω + ω − + ω + ω + ω + ω − + ω + ω + ω + ω − + ω + ω + ω + ω − + ω + ω is

A0 B1 Cω D2/ω

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EnglishLT 2018

Q56.The equation z 3 2 z 3 − = + represents

Aa parabola Ba hyperbola Ca circle Dan ellipse

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EnglishLT 2018

Q57.If n n n x cos isin,n R, 2 2 π = + ∈ = + ∈ = + ∈ = + ∈ then (()) 1 2 3 n n lim x.x.x.......x →∞ is

A0 B–1 C1 D2

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EnglishDSSB TGT (SECTION-B) 28 DEC 2014

Q58.The number i 2e is–

AA rational number BA transcendental number CAn irrational number DAn imaginary number

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EnglishSECTION B PGT TIER-I 31.11.2014

Q59.Number of solutions of the equation 2 z z 0 + = + = is–

A1 B2 C3 Dinfinitely many

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EnglishSECTION B PGT TIER-I 31.11.2014

Q60.If a + ib = c + id, then–

A2 2/a c 0 B2 2/b c 0 C2 2/b d 0 D2 2 2 2/a b c d

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