Math Chapter Wise

EnglishKVS TGT DEC 2017

Q141.Let x, y ∈ IR, then x + iy is a non-real complex number if–

Ax = 0 By = 0 Cx ≠ 0 Dy ≠ 0

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EnglishTGT 2011

Q142.Real part of 5 + 2i 3- 4i 1 z = – – 2-5i 4 + 3i i is:

A0 B4 C–2 DNone of these

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EnglishTGT 2011

Q143.The value of -6 -6 is:

A6 B–6 C6i D–6i

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EnglishTGT 2011

Q144.If α and β are different complex numbers and |β|=1 then what will be the value of β - 1- β α?

A0 B1/2 C1 D2

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EnglishTGT 2011

Q145.If z is a complex number, which satisfies z2 +z+1=0. If n is not multiple of 3, then the value of zn +z2n is:

A2 B–2 C0 D–1

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EnglishTGT 2011

Q146.nth cube root of the unit will be:

AArithmetic progression BGeometric Progression CHarmonic Progression DNone of these

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EnglishTGT 2011

Q147.If the area of the triangle formed by the vertices z, z+iz and iz of the triangle in the complex plane is 50,m then the value of |z| is:

A1 B5 C10 D100

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EnglishUP PCS (Pre) 1998

Q148.If a,b,c,d are real numbers, then a ib c id + is real if:

Aac = bd Bab = cd Cad + bc = 0 Dad = bc

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EnglishUP PCS (Pre) 1994

Q149.The value of 4 4 1 (1 i) 1 i is–

A4 B8 C16 D32

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EnglishUP PCS (Pre) 1994

Q150.The locus determined by z 1 2 z 1 + = − where z 1 and z x iy is–

Aa circle with centre 5,0 3 Ba circle with centre 5 0, 3 Ca parabola 2/y 2x Dan ellipse 2 2 x y 1 2 3

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EnglishUP PCS (Pre) 1995

Q151.If 1, w, w2 are the cube roots of unity then the roots of the equation (x–1)3 + 8 = 0 are –

A2 1,1 2w.1 2w B2 1,1 2w,1 2w − − − C1,1,2 D2 2, 2w, 2w

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EnglishUP PCS (Pre) 1995

Q152.If the real part of z 1 z i, where z x iy is 1 then the point (x,y) lies on–

Ay-axis Bx-axis Ca circle Da straight line of gradient one

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EnglishUP PCS (Pre) 1995

Q153.The equation zz 3 = where z x iy and z is the conjugale complex of represents–

AA parabola BAn ellipse CA circle DA hyperbola

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EnglishUP PCS (Pre) 1995

Q154.The smallest positive integer n for which the real part of (1+i)n is zero is–

A1 B2 C4 Dnone

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EnglishUP PCS (Pre) 1996

Q155.The complex number z, for which |z+5|2 + |z–5|2 = 75, represents:

Aa circle Ban ellipse Ca triangle Da straight line

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EnglishUP PCS (Pre) 1999

Q156.If ω is a complex cube root of unity then ω100 +ω17 +1 equals:

A0 B1 C–3 D8

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EnglishUP PCS (Pre) 1999

Q157.For real x, the complex numbers sin x+i cos 2x and cos x–i sin 2x are conjugate to each other for:

Ax = nπ B1 x n 2 = π Cx = 0 Dno value of x

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EnglishUP PCS (Pre) 2000

Q158.If 5 5 3 1 3 1 Z i i 2 2 2 2 = + + − = + + − = + + − = + + − then:

ARe (Z) = 0 BIm (Z) = 0 CRe (Z) > 0, Im (Z) > 0 DRe (Z) > 0, Im (Z) < 0

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EnglishUP PCS (Pre) 2000

Q159.If the complex numbers Z1, Z2, Z3 are in arithmetic progression, then they lie on

Acircle Bparabola Cline Dellipse

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EnglishUP PCS (Pre) 2001

Q160.In the complex plane, the equation − = − 2 z 1 z 2 represents a:

Aclosed disc Bcircle Cstraight line Dparabola

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